25589880960 has 512 divisors, whose sum is σ = 102416486400. Its totient is φ = 5299126272.

The previous prime is 25589880949. The next prime is 25589880971. The reversal of 25589880960 is 6908898552.

It is an interprime number because it is at equal distance from previous prime (25589880949) and next prime (25589880971).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 25589880894 and 25589880903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5871102 + ... + 5875458.

It is an arithmetic number, because the mean of its divisors is an integer number (200032200).

Almost surely, 2^25589880960 is an apocalyptic number.

25589880960 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 25589880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51208243200).

25589880960 is an abundant number, since it is smaller than the sum of its proper divisors (76826605440).

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

25589880960 is a wasteful number, since it uses less digits than its factorization.

25589880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The spelling of 25589880960 in words is "twenty-five billion, five hundred eighty-nine million, eight hundred eighty thousand, nine hundred sixty".