5162578560 has 96 divisors (see below), whose sum is σ = 17827048980. Its totient is φ = 1376686080.

The previous prime is 5162578549. The next prime is 5162578573. The reversal of 5162578560 is 658752615.

5162578560 is a `hidden beast` number, since 5 + 16 + 2 + 5 + 78 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5159836224 + 2742336 = 71832^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442381 + ... + 453900.

Almost surely, 2^5162578560 is an apocalyptic number.

It is an amenable number.

5162578560 is an abundant number, since it is smaller than the sum of its proper divisors (12664470420).

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

5162578560 is a wasteful number, since it uses less digits than its factorization.

5162578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896306 (or 896291 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5162578560 is about 71851.0860043187. The cubic root of 5162578560 is about 1728.3123149487.

The spelling of 5162578560 in words is "five billion, one hundred sixty-two million, five hundred seventy-eight thousand, five hundred sixty".