25252368800 has 36 divisors (see below), whose sum is σ = 61647347286. Its totient is φ = 10100947200.

The previous prime is 25252368793. The next prime is 25252368859. The reversal of 25252368800 is 886325252.

It can be written as a sum of positive squares in 3 ways, for example, as 12002517136 + 13249851664 = 109556^2 + 115108^2 .

It is a super-2 number, since 2×25252368800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15781931 + ... + 15783530.

Almost surely, 2^25252368800 is an apocalyptic number.

25252368800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25252368800 is an abundant number, since it is smaller than the sum of its proper divisors (36394978486).

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

25252368800 is a wasteful number, since it uses less digits than its factorization.

25252368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31565481 (or 31565468 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 25252368800 in words is "twenty-five billion, two hundred fifty-two million, three hundred sixty-eight thousand, eight hundred".