25509466400 has 72 divisors (see below), whose sum is σ = 67936370544. Its totient is φ = 9276166400.

The previous prime is 25509466363. The next prime is 25509466453. The reversal of 25509466400 is 466490552.

It is a happy number.

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, 1440602 + ... + 1458201.

It is an arithmetic number, because the mean of its divisors is an integer number (943560702).

Almost surely, 2^25509466400 is an apocalyptic number.

25509466400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25509466400 is an abundant number, since it is smaller than the sum of its proper divisors (42426904144).

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

25509466400 is a wasteful number, since it uses less digits than its factorization.

25509466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898834 (or 2898821 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 25509466400 in words is "twenty-five billion, five hundred nine million, four hundred sixty-six thousand, four hundred".