25032826368 has 480 divisors, whose sum is σ = 82730419200. Its totient is φ = 7217971200.

The previous prime is 25032826339. The next prime is 25032826391. The reversal of 25032826368 is 86362823052.

25032826368 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 2 + 8 + 2 + 636 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139848103 + ... + 139848281.

It is an arithmetic number, because the mean of its divisors is an integer number (172355040).

Almost surely, 2^25032826368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25032826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41365209600).

25032826368 is an abundant number, since it is smaller than the sum of its proper divisors (57697592832).

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

25032826368 is a wasteful number, since it uses less digits than its factorization.

25032826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25032826368 in words is "twenty-five billion, thirty-two million, eight hundred twenty-six thousand, three hundred sixty-eight".