56438521272 has 384 divisors, whose sum is σ = 197094643200. Its totient is φ = 14201339904.

The previous prime is 56438521231. The next prime is 56438521277. The reversal of 56438521272 is 27212583465.

56438521272 is a `hidden beast` number, since 56 + 4 + 3 + 8 + 521 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56438521277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13509648 + ... + 13513824.

It is an arithmetic number, because the mean of its divisors is an integer number (513267300).

Almost surely, 2^56438521272 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 56438521272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98547321600).

56438521272 is an abundant number, since it is smaller than the sum of its proper divisors (140656121928).

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

56438521272 is a wasteful number, since it uses less digits than its factorization.

56438521272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4308 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 56438521272 in words is "fifty-six billion, four hundred thirty-eight million, five hundred twenty-one thousand, two hundred seventy-two".