55198925832960 has 1440 divisors, whose sum is σ = 243980646467712. Its totient is φ = 11603772702720.

The previous prime is 55198925832923. The next prime is 55198925833013. The reversal of 55198925832960 is 6923852989155.

55198925832960 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 89 + 258 + 3 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×55198925832960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2613451200 + ... + 2613472320.

Almost surely, 2^{55198925832960} 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 55198925832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121990323233856).

55198925832960 is an abundant number, since it is smaller than the sum of its proper divisors (188781720634752).

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

55198925832960 is a wasteful number, since it uses less digits than its factorization.

55198925832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21451 (or 21428 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 55198925832960 in words is "fifty-five trillion, one hundred ninety-eight billion, nine hundred twenty-five million, eight hundred thirty-two thousand, nine hundred sixty".