25504502400 has 1008 divisors, whose sum is σ = 105358172010. Its totient is φ = 6061547520.

The previous prime is 25504502383. The next prime is 25504502423. The reversal of 25504502400 is 420540552.

25504502400 is a `hidden beast` number, since 255 + 0 + 4 + 5 + 0 + 2 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 162409536 + 25342092864 = 12744^2 + 159192^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 879465586 + ... + 879465614.

Almost surely, 2^25504502400 is an apocalyptic number.

25504502400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25504502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52679086005).

25504502400 is an abundant number, since it is smaller than the sum of its proper divisors (79853669610).

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

25504502400 is an equidigital number, since it uses as much as digits as its factorization.

25504502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 25504502400 in words is "twenty-five billion, five hundred four million, five hundred two thousand, four hundred".