25032534400 has 144 divisors (see below), whose sum is σ = 62787739140. Its totient is φ = 9860152320.

The previous prime is 25032534367. The next prime is 25032534421. The reversal of 25032534400 is 443523052.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 81539047 + ... + 81539353.

Almost surely, 2^25032534400 is an apocalyptic number.

25032534400 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 25032534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31393869570).

25032534400 is an abundant number, since it is smaller than the sum of its proper divisors (37755204740).

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

25032534400 is an frugal number, since it uses more digits than its factorization.

25032534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 25032534400 in words is "twenty-five billion, thirty-two million, five hundred thirty-four thousand, four hundred".