25538524011 has 192 divisors, whose sum is σ = 51577344000. Its totient is φ = 11745699840.

The previous prime is 25538523929. The next prime is 25538524013. The reversal of 25538524011 is 11042583552.

25538524011 is a `hidden beast` number, since 2 + 553 + 8 + 52 + 40 + 11 = 666.

It is not a de Polignac number, because 25538524011 - 2¹⁴ = 25538507627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25538524013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62441175 + ... + 62441583.

It is an arithmetic number, because the mean of its divisors is an integer number (268632000).

Almost surely, 2^25538524011 is an apocalyptic number.

25538524011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25538524011 is an abundant number, since it is smaller than the sum of its proper divisors (26038819989).

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

25538524011 is a wasteful number, since it uses less digits than its factorization.

25538524011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 25538524011 in words is "twenty-five billion, five hundred thirty-eight million, five hundred twenty-four thousand, eleven".