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55923680655360 = 211365719233179
BaseRepresentation
bin11001011011100101111110…
…00111101011100000000000
321100000020210110101102000000
430231302333013223200000
524312223144221432420
6314534552332000000
714531231640255330
oct1455627707534000
9240006713342000
1055923680655360
11169011108912a1
126332473600000
13252877135a83b
14db4a134050c0
1566ea8381d690
hex32dcbf1eb800

55923680655360 has 5376 divisors, whose sum is σ = 263995490304000. Its totient is φ = 11067728855040.

The previous prime is 55923680655301. The next prime is 55923680655377. The reversal of 55923680655360 is 6355608632955.

55923680655360 is a `hidden beast` number, since 5 + 5 + 9 + 2 + 36 + 8 + 0 + 65 + 536 + 0 = 666.

55923680655360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 707894691801 + ... + 707894691879.

It is an arithmetic number, because the mean of its divisors is an integer number (49106304000).

Almost surely, 255923680655360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55923680655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131997745152000).

55923680655360 is an abundant number, since it is smaller than the sum of its proper divisors (208071809648640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55923680655360 is a wasteful number, since it uses less digits than its factorization.

55923680655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 63.

The spelling of 55923680655360 in words is "fifty-five trillion, nine hundred twenty-three billion, six hundred eighty million, six hundred fifty-five thousand, three hundred sixty".