56721475685952 has 1344 divisors, whose sum is σ = 219517798809600. Its totient is φ = 14185093386240.

The previous prime is 56721475685921. The next prime is 56721475685971. The reversal of 56721475685952 is 25958657412765.

It is a happy number.

56721475685952 is a `hidden beast` number, since 5 + 6 + 7 + 2 + 1 + 4 + 7 + 568 + 5 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 10344968203 + ... + 10344973685.

Almost surely, 2^{56721475685952} 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 56721475685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109758899404800).

56721475685952 is an abundant number, since it is smaller than the sum of its proper divisors (162796323123648).

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

56721475685952 is a wasteful number, since it uses less digits than its factorization.

56721475685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5918 counting only the distinct ones).

The product of its digits is 1270080000, while the sum is 72.

The spelling of 56721475685952 in words is "fifty-six trillion, seven hundred twenty-one billion, four hundred seventy-five million, six hundred eighty-five thousand, nine hundred fifty-two".