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55954990080 = 21033511311187
BaseRepresentation
bin110100000111001011…
…010110010000000000
312100102121012000022000
4310013023112100000
51404043434140310
641412205344000
74020421365603
oct640713262000
9170377160260
1055954990080
1121804151260
12aa17268000
1353797097b2
1429cb58433a
1516c758b4c0
hexd072d6400

55954990080 has 704 divisors, whose sum is σ = 224118005760. Its totient is φ = 13116211200.

The previous prime is 55954990067. The next prime is 55954990087. The reversal of 55954990080 is 8009945955.

55954990080 is a `hidden beast` number, since 5 + 5 + 9 + 549 + 90 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55954989999 and 55954990026.

It is not an unprimeable number, because it can be changed into a prime (55954990087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47139247 + ... + 47140433.

It is an arithmetic number, because the mean of its divisors is an integer number (318349440).

Almost surely, 255954990080 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 55954990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112059002880).

55954990080 is an abundant number, since it is smaller than the sum of its proper divisors (168163015680).

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

55954990080 is a wasteful number, since it uses less digits than its factorization.

55954990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 55954990080 in words is "fifty-five billion, nine hundred fifty-four million, nine hundred ninety thousand, eighty".