25528812871680 has 1120 divisors, whose sum is σ = 95548012792848. Its totient is φ = 6514488115200.

The previous prime is 25528812871669. The next prime is 25528812871699. The reversal of 25528812871680 is 8617821882552.

25528812871680 is a `hidden beast` number, since 2 + 5 + 528 + 8 + 1 + 28 + 7 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5995524427776 + 19533288443904 = 2448576^2 + 4419648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7209490710 + ... + 7209494250.

Almost surely, 2^{25528812871680} is an apocalyptic number.

25528812871680 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 25528812871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47774006396424).

25528812871680 is an abundant number, since it is smaller than the sum of its proper divisors (70019199921168).

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

25528812871680 is an equidigital number, since it uses as much as digits as its factorization.

25528812871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 25528812871680 in words is "twenty-five trillion, five hundred twenty-eight billion, eight hundred twelve million, eight hundred seventy-one thousand, six hundred eighty".