25578569976960 has 2048 divisors, whose sum is σ = 113001923543040. Its totient is φ = 4749227458560.

The previous prime is 25578569976859. The next prime is 25578569977031. The reversal of 25578569976960 is 6967996587552.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15857761114 + ... + 15857762726.

It is an arithmetic number, because the mean of its divisors is an integer number (55176720480).

Almost surely, 2^{25578569976960} is an apocalyptic number.

25578569976960 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 25578569976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56500961771520).

25578569976960 is an abundant number, since it is smaller than the sum of its proper divisors (87423353566080).

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

25578569976960 is a wasteful number, since it uses less digits than its factorization.

25578569976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 15431472000, while the sum is 84.

The spelling of 25578569976960 in words is "twenty-five trillion, five hundred seventy-eight billion, five hundred sixty-nine million, nine hundred seventy-six thousand, nine hundred sixty".