56117137272 has 128 divisors (see below), whose sum is σ = 164749263360. Its totient is φ = 15595130880.

The previous prime is 56117137267. The next prime is 56117137291. The reversal of 56117137272 is 27273171165.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1724868 + ... + 1757100.

It is an arithmetic number, because the mean of its divisors is an integer number (1287103620).

Almost surely, 2^56117137272 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 56117137272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82374631680).

56117137272 is an abundant number, since it is smaller than the sum of its proper divisors (108632126088).

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

56117137272 is a wasteful number, since it uses less digits than its factorization.

56117137272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32533 (or 32529 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The spelling of 56117137272 in words is "fifty-six billion, one hundred seventeen million, one hundred thirty-seven thousand, two hundred seventy-two".