25317230400 has 1680 divisors, whose sum is σ = 120732986880. Its totient is φ = 5051289600.

The previous prime is 25317230387. The next prime is 25317230441. The reversal of 25317230400 is 403271352.

25317230400 is a `hidden beast` number, since 25 + 3 + 1 + 7 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 429105571 + ... + 429105629.

Almost surely, 2^25317230400 is an apocalyptic number.

25317230400 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 25317230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60366493440).

25317230400 is an abundant number, since it is smaller than the sum of its proper divisors (95415756480).

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

25317230400 is a wasteful number, since it uses less digits than its factorization.

25317230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 25317230400 in words is "twenty-five billion, three hundred seventeen million, two hundred thirty thousand, four hundred".