25553328800 has 72 divisors (see below), whose sum is σ = 63236757276. Its totient is φ = 10081290240.

The previous prime is 25553328797. The next prime is 25553328839. The reversal of 25553328800 is 882335552.

It can be written as a sum of positive squares in 6 ways, for example, as 5528814736 + 20024514064 = 74356^2 + 141508^2 .

It is a super-2 number, since 2×25553328800² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160379 + ... + 277178.

Almost surely, 2^25553328800 is an apocalyptic number.

25553328800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25553328800 is an abundant number, since it is smaller than the sum of its proper divisors (37683428476).

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

25553328800 is a wasteful number, since it uses less digits than its factorization.

25553328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437650 (or 437637 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 25553328800 in words is "twenty-five billion, five hundred fifty-three million, three hundred twenty-eight thousand, eight hundred".