2505075258560 has 112 divisors (see below), whose sum is σ = 7176193155840. Its totient is φ = 813678566400.

The previous prime is 2505075258527. The next prime is 2505075258599. The reversal of 2505075258560 is 658525705052.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2505075258499 and 2505075258508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29387366 + ... + 29472485.

Almost surely, 2^{2505075258560} is an apocalyptic number.

2505075258560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505075258560 is an abundant number, since it is smaller than the sum of its proper divisors (4671117897280).

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

2505075258560 is a wasteful number, since it uses less digits than its factorization.

2505075258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58859894 (or 58859884 counting only the distinct ones).

The product of its (nonzero) digits is 4200000, while the sum is 50.

The spelling of 2505075258560 in words is "two trillion, five hundred five billion, seventy-five million, two hundred fifty-eight thousand, five hundred sixty".