5264460644625 has 512 divisors, whose sum is σ = 12536917585920. Its totient is φ = 2120421888000.

The previous prime is 5264460644609. The next prime is 5264460644671.

5264460644625 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 4 + 6 + 0 + 6 + 4 + 4 + 625 = 666.

5264460644625 is nontrivially palindromic in base 10.

5264460644625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5264460644625 - 2⁴ = 5264460644609 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 602267755 + ... + 602276495.

It is an arithmetic number, because the mean of its divisors is an integer number (24486167160).

Almost surely, 2^{5264460644625} is an apocalyptic number.

It is an amenable number.

5264460644625 is an abundant number, since it is smaller than the sum of its proper divisors (7272456941295).

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

5264460644625 is a wasteful number, since it uses less digits than its factorization.

5264460644625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8875 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 5264460644625 in words is "five trillion, two hundred sixty-four billion, four hundred sixty million, six hundred forty-four thousand, six hundred twenty-five".