56644565991552 has 2048 divisors, whose sum is σ = 225325670400000. Its totient is φ = 13858218823680.

The previous prime is 56644565991539. The next prime is 56644565991617. The reversal of 56644565991552 is 25519956544665.

56644565991552 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 4 + 5 + 65 + 9 + 9 + 1 + 552 = 666.

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 255 ways as a sum of consecutive naturals, for example, 20093849599 + ... + 20093852417.

It is an arithmetic number, because the mean of its divisors is an integer number (110022300000).

Almost surely, 2^{56644565991552} 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 56644565991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112662835200000).

56644565991552 is an abundant number, since it is smaller than the sum of its proper divisors (168681104408448).

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

56644565991552 is a wasteful number, since it uses less digits than its factorization.

56644565991552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2932 counting only the distinct ones).

The product of its digits is 1749600000, while the sum is 72.

The spelling of 56644565991552 in words is "fifty-six trillion, six hundred forty-four billion, five hundred sixty-five million, nine hundred ninety-one thousand, five hundred fifty-two".