56553592271688 has 128 divisors (see below), whose sum is σ = 160441566480000. Its totient is φ = 18452149502976.

The previous prime is 56553592271669. The next prime is 56553592271707. The reversal of 56553592271688 is 88617229535565.

56553592271688 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 3 + 592 + 27 + 1 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56553592271669) and next prime (56553592271707).

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 31 ways as a sum of consecutive naturals, for example, 6553533 + ... + 12492236.

It is an arithmetic number, because the mean of its divisors is an integer number (1253449738125).

Almost surely, 2^{56553592271688} is an apocalyptic number.

It is an amenable number.

56553592271688 is an abundant number, since it is smaller than the sum of its proper divisors (103887974208312).

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

56553592271688 is a wasteful number, since it uses less digits than its factorization.

56553592271688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19046076 (or 19046066 counting only the distinct ones).

The product of its digits is 1088640000, while the sum is 72.

The spelling of 56553592271688 in words is "fifty-six trillion, five hundred fifty-three billion, five hundred ninety-two million, two hundred seventy-one thousand, six hundred eighty-eight".