56352050664 has 256 divisors, whose sum is σ = 175793479680. Its totient is φ = 14657448960.

The previous prime is 56352050639. The next prime is 56352050683. The reversal of 56352050664 is 46605025365.

56352050664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56352050664² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89305629 + ... + 89306259.

It is an arithmetic number, because the mean of its divisors is an integer number (686693280).

Almost surely, 2^56352050664 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 56352050664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87896739840).

56352050664 is an abundant number, since it is smaller than the sum of its proper divisors (119441429016).

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

56352050664 is a wasteful number, since it uses less digits than its factorization.

56352050664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 56352050664 in words is "fifty-six billion, three hundred fifty-two million, fifty thousand, six hundred sixty-four".