25187952000 has 256 divisors, whose sum is σ = 83735308800. Its totient is φ = 6697728000.

The previous prime is 25187951959. The next prime is 25187952017. The reversal of 25187952000 is 25978152.

It is a self number, because there is not a number n which added to its sum of digits gives 25187952000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27407541 + ... + 27408459.

It is an arithmetic number, because the mean of its divisors is an integer number (327091050).

Almost surely, 2^25187952000 is an apocalyptic number.

25187952000 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 25187952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41867654400).

25187952000 is an abundant number, since it is smaller than the sum of its proper divisors (58547356800).

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

25187952000 is an equidigital number, since it uses as much as digits as its factorization.

25187952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 25187952000 in words is "twenty-five billion, one hundred eighty-seven million, nine hundred fifty-two thousand".