56441707264576 has 224 divisors, whose sum is σ = 125377231795200. Its totient is φ = 25081670369280.

The previous prime is 56441707264549. The next prime is 56441707264577. The reversal of 56441707264576 is 67546270714465.

It is a super-3 number, since 3×56441707264576³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (56441707264577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2240715790 + ... + 2240740978.

It is an arithmetic number, because the mean of its divisors is an integer number (559719784800).

Almost surely, 2^{56441707264576} 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 56441707264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62688615897600).

56441707264576 is an abundant number, since it is smaller than the sum of its proper divisors (68935524530624).

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

56441707264576 is a wasteful number, since it uses less digits than its factorization.

56441707264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26805 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 64.

The spelling of 56441707264576 in words is "fifty-six trillion, four hundred forty-one billion, seven hundred seven million, two hundred sixty-four thousand, five hundred seventy-six".