25248564900 has 432 divisors, whose sum is σ = 91764782928. Its totient is φ = 5750784000.

The previous prime is 25248564899. The next prime is 25248564919. The reversal of 25248564900 is 946584252.

25248564900 is a `hidden beast` number, since 2 + 524 + 85 + 6 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 23905488996 + 1343075904 = 154614^2 + 36648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12131860 + ... + 12133940.

It is an arithmetic number, because the mean of its divisors is an integer number (212418479).

Almost surely, 2^25248564900 is an apocalyptic number.

25248564900 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 25248564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45882391464).

25248564900 is an abundant number, since it is smaller than the sum of its proper divisors (66516218028).

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

25248564900 is a wasteful number, since it uses less digits than its factorization.

25248564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25248564900 in words is "twenty-five billion, two hundred forty-eight million, five hundred sixty-four thousand, nine hundred".