25331584320 has 672 divisors, whose sum is σ = 107441268480. Its totient is φ = 5348229120.

The previous prime is 25331584319. The next prime is 25331584331. The reversal of 25331584320 is 2348513352.

25331584320 is a `hidden beast` number, since 2 + 53 + 3 + 1 + 584 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×25331584320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15703834 + ... + 15705446.

It is an arithmetic number, because the mean of its divisors is an integer number (159882840).

Almost surely, 2^25331584320 is an apocalyptic number.

25331584320 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 25331584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53720634240).

25331584320 is an abundant number, since it is smaller than the sum of its proper divisors (82109684160).

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

25331584320 is a wasteful number, since it uses less digits than its factorization.

25331584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 25331584320 in words is "twenty-five billion, three hundred thirty-one million, five hundred eighty-four thousand, three hundred twenty".