25532626500 has 144 divisors (see below), whose sum is σ = 80679558960. Its totient is φ = 6797491200.

The previous prime is 25532626499. The next prime is 25532626507. The reversal of 25532626500 is 562623552.

25532626500 is a `hidden beast` number, since 2 + 5 + 532 + 62 + 65 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6204397824 + 19328228676 = 78768^2 + 139026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25532626507) 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, 2934156 + ... + 2942844.

It is an arithmetic number, because the mean of its divisors is an integer number (560274715).

Almost surely, 2^25532626500 is an apocalyptic number.

25532626500 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 25532626500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40339779480).

25532626500 is an abundant number, since it is smaller than the sum of its proper divisors (55146932460).

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

25532626500 is a wasteful number, since it uses less digits than its factorization.

25532626500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 25532626500 in words is "twenty-five billion, five hundred thirty-two million, six hundred twenty-six thousand, five hundred".