55975937052672 has 1248 divisors, whose sum is σ = 203303681468160. Its totient is φ = 14446110965760.

The previous prime is 55975937052631. The next prime is 55975937052709. The reversal of 55975937052672 is 27625073957955.

55975937052672 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 5 + 93 + 7 + 0 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×55975937052672² (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 a self number, because there is not a number n which added to its sum of digits gives 55975937052672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54824619522 + ... + 54824620542.

It is an arithmetic number, because the mean of its divisors is an integer number (162903590920).

Almost surely, 2^{55975937052672} is an apocalyptic number.

55975937052672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55975937052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101651840734080).

55975937052672 is an abundant number, since it is smaller than the sum of its proper divisors (147327744415488).

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

55975937052672 is a wasteful number, since it uses less digits than its factorization.

55975937052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1250235000, while the sum is 72.

The spelling of 55975937052672 in words is "fifty-five trillion, nine hundred seventy-five billion, nine hundred thirty-seven million, fifty-two thousand, six hundred seventy-two".