2565629494560 has 288 divisors, whose sum is σ = 9859242032640. Its totient is φ = 601907097600.

The previous prime is 2565629494489. The next prime is 2565629494573. The reversal of 2565629494560 is 654949265652.

2565629494560 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 6 + 29 + 49 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121405 + ... + 3103484.

It is an arithmetic number, because the mean of its divisors is an integer number (34233479280).

Almost surely, 2^{2565629494560} is an apocalyptic number.

2565629494560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565629494560 is an abundant number, since it is smaller than the sum of its proper divisors (7293612538080).

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

2565629494560 is a wasteful number, since it uses less digits than its factorization.

2565629494560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224952 (or 5224941 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 2565629494560 in words is "two trillion, five hundred sixty-five billion, six hundred twenty-nine million, four hundred ninety-four thousand, five hundred sixty".