25530488400 has 240 divisors, whose sum is σ = 84311589824. Its totient is φ = 6599024640.

The previous prime is 25530488387. The next prime is 25530488441. The reversal of 25530488400 is 488403552.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13629864 + ... + 13631736.

Almost surely, 2^25530488400 is an apocalyptic number.

25530488400 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 25530488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155794912).

25530488400 is an abundant number, since it is smaller than the sum of its proper divisors (58781101424).

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

25530488400 is a wasteful number, since it uses less digits than its factorization.

25530488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 25530488400 in words is "twenty-five billion, five hundred thirty million, four hundred eighty-eight thousand, four hundred".