523056864960 has 1120 divisors, whose sum is σ = 2285995903488. Its totient is φ = 110799912960.

The previous prime is 523056864947. The next prime is 523056864973. The reversal of 523056864960 is 69468650325.

523056864960 is a `hidden beast` number, since 5 + 2 + 30 + 568 + 6 + 49 + 6 + 0 = 666.

523056864960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (523056864947) and next prime (523056864973).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 523056864897 and 523056864906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 206658895 + ... + 206661425.

Almost surely, 2^523056864960 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 523056864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142997951744).

523056864960 is an abundant number, since it is smaller than the sum of its proper divisors (1762939038528).

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

523056864960 is a wasteful number, since it uses less digits than its factorization.

523056864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 523056864960 in words is "five hundred twenty-three billion, fifty-six million, eight hundred sixty-four thousand, nine hundred sixty".