25231316252400 has 720 divisors, whose sum is σ = 90292174850592. Its totient is φ = 6521748480000.

The previous prime is 25231316252393. The next prime is 25231316252473. The reversal of 25231316252400 is 425261313252.

25231316252400 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 1 + 3 + 1 + 625 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11003625654 + ... + 11003627946.

Almost surely, 2^{25231316252400} is an apocalyptic number.

25231316252400 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 25231316252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45146087425296).

25231316252400 is an abundant number, since it is smaller than the sum of its proper divisors (65060858598192).

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

25231316252400 is a wasteful number, since it uses less digits than its factorization.

25231316252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 25231316252400 its reverse (425261313252), we get a palindrome (25656577565652).

The spelling of 25231316252400 in words is "twenty-five trillion, two hundred thirty-one billion, three hundred sixteen million, two hundred fifty-two thousand, four hundred".