2506580160399 has 144 divisors (see below), whose sum is σ = 4519093662720. Its totient is φ = 1382908101120.

The previous prime is 2506580160221. The next prime is 2506580160421. The reversal of 2506580160399 is 9930610856052.

It is a happy number.

2506580160399 is a `hidden beast` number, since 2 + 50 + 6 + 580 + 1 + 6 + 0 + 3 + 9 + 9 = 666.

It is not a de Polignac number, because 2506580160399 - 2¹¹ = 2506580158351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506580164399) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163511167 + ... + 163526495.

It is an arithmetic number, because the mean of its divisors is an integer number (31382594880).

Almost surely, 2^{2506580160399} is an apocalyptic number.

2506580160399 is a deficient number, since it is larger than the sum of its proper divisors (2012513502321).

2506580160399 is a wasteful number, since it uses less digits than its factorization.

2506580160399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15813 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 2506580160399 in words is "two trillion, five hundred six billion, five hundred eighty million, one hundred sixty thousand, three hundred ninety-nine".