25584318368 has 288 divisors, whose sum is σ = 66197585664. Its totient is φ = 9493438464.

The previous prime is 25584318367. The next prime is 25584318373. The reversal of 25584318368 is 86381348552.

It is not an unprimeable number, because it can be changed into a prime (25584318367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50863205 + ... + 50863707.

It is an arithmetic number, because the mean of its divisors is an integer number (229852728).

Almost surely, 2^25584318368 is an apocalyptic number.

25584318368 is a gapful number since it is divisible by the number (28) 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 25584318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33098792832).

25584318368 is an abundant number, since it is smaller than the sum of its proper divisors (40613267296).

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

25584318368 is a wasteful number, since it uses less digits than its factorization.

25584318368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 585 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 53.

The spelling of 25584318368 in words is "twenty-five billion, five hundred eighty-four million, three hundred eighteen thousand, three hundred sixty-eight".