25050458664 has 576 divisors, whose sum is σ = 91752635520. Its totient is φ = 6021734400.

The previous prime is 25050458659. The next prime is 25050458687. The reversal of 25050458664 is 46685405052.

25050458664 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 0 + 4 + 586 + 64 = 666.

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, 75680979 + ... + 75681309.

It is an arithmetic number, because the mean of its divisors is an integer number (159292770).

Almost surely, 2^25050458664 is an apocalyptic number.

25050458664 is a gapful number since it is divisible by the number (24) 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 25050458664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45876317760).

25050458664 is an abundant number, since it is smaller than the sum of its proper divisors (66702176856).

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

25050458664 is a wasteful number, since it uses less digits than its factorization.

25050458664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 25050458664 in words is "twenty-five billion, fifty million, four hundred fifty-eight thousand, six hundred sixty-four".