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55660872960 = 28325711131479
BaseRepresentation
bin110011110101101001…
…011000010100000000
312022200002202022110100
4303311221120110000
51402443140413320
641323101402400
74010220420360
oct636551302400
9168602668410
1055660872960
1121673125760
12a954869400
1353307bb5b4
1429a04a29a0
1516ab840790
hexcf5a58500

55660872960 has 864 divisors, whose sum is σ = 242438676480. Its totient is φ = 11453644800.

The previous prime is 55660872937. The next prime is 55660872977. The reversal of 55660872960 is 6927806655.

It is a happy number.

55660872960 is a `hidden beast` number, since 5 + 5 + 6 + 608 + 7 + 29 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55660872897 and 55660872906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116202001 + ... + 116202479.

It is an arithmetic number, because the mean of its divisors is an integer number (280600320).

Almost surely, 255660872960 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 55660872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121219338240).

55660872960 is an abundant number, since it is smaller than the sum of its proper divisors (186777803520).

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

55660872960 is a wasteful number, since it uses less digits than its factorization.

55660872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 55660872960 in words is "fifty-five billion, six hundred sixty million, eight hundred seventy-two thousand, nine hundred sixty".