25387864320 has 864 divisors, whose sum is σ = 103582136448. Its totient is φ = 5251792896.

The previous prime is 25387864319. The next prime is 25387864331. The reversal of 25387864320 is 2346878352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25387864320.

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 95 ways as a sum of consecutive naturals, for example, 237269707 + ... + 237269813.

It is an arithmetic number, because the mean of its divisors is an integer number (119886732).

Almost surely, 2^25387864320 is an apocalyptic number.

25387864320 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 25387864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51791068224).

25387864320 is an abundant number, since it is smaller than the sum of its proper divisors (78194272128).

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

25387864320 is a wasteful number, since it uses less digits than its factorization.

25387864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 25387864320 in words is "twenty-five billion, three hundred eighty-seven million, eight hundred sixty-four thousand, three hundred twenty".