25530684880500 has 120 divisors (see below), whose sum is σ = 83294332345224. Its totient is φ = 6808182624000.

The previous prime is 25530684880429. The next prime is 25530684880501. The reversal of 25530684880500 is 508848603552.

25530684880500 is a `hidden beast` number, since 2 + 5 + 5 + 30 + 68 + 48 + 8 + 0 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322673985936 + 25208010894564 = 568044^2 + 5020758^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25530684880501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315153141 + ... + 315234140.

Almost surely, 2^{25530684880500} is an apocalyptic number.

25530684880500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25530684880500 is an abundant number, since it is smaller than the sum of its proper divisors (57763647464724).

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

25530684880500 is a wasteful number, since it uses less digits than its factorization.

25530684880500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630387312 (or 630387291 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 25530684880500 in words is "twenty-five trillion, five hundred thirty billion, six hundred eighty-four million, eight hundred eighty thousand, five hundred".