25312410400 has 144 divisors (see below), whose sum is σ = 64234888704. Its totient is φ = 9731681280.

The previous prime is 25312410391. The next prime is 25312410427. The reversal of 25312410400 is 401421352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451649 + ... + 2461951.

It is an arithmetic number, because the mean of its divisors is an integer number (446075616).

Almost surely, 2^25312410400 is an apocalyptic number.

25312410400 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 25312410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32117444352).

25312410400 is an abundant number, since it is smaller than the sum of its proper divisors (38922478304).

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

25312410400 is a wasteful number, since it uses less digits than its factorization.

25312410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10443 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 25312410400 its reverse (401421352), we get a palindrome (25713831752).

The spelling of 25312410400 in words is "twenty-five billion, three hundred twelve million, four hundred ten thousand, four hundred".