25224530100 has 576 divisors, whose sum is σ = 95825866752. Its totient is φ = 4967424000.

The previous prime is 25224530087. The next prime is 25224530117. The reversal of 25224530100 is 103542252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104665980 + ... + 104666220.

It is an arithmetic number, because the mean of its divisors is an integer number (166364352).

Almost surely, 2^25224530100 is an apocalyptic number.

25224530100 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 25224530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47912933376).

25224530100 is an abundant number, since it is smaller than the sum of its proper divisors (70601336652).

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

25224530100 is a wasteful number, since it uses less digits than its factorization.

25224530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 25224530100 in words is "twenty-five billion, two hundred twenty-four million, five hundred thirty thousand, one hundred".