25223792400 has 135 divisors (see below), whose sum is σ = 87566647701. Its totient is φ = 6723803520.

The previous prime is 25223792357. The next prime is 25223792423. The reversal of 25223792400 is 429732252.

The square root of 25223792400 is 158820.

It is a perfect power (a square), and thus also a powerful number.

25223792400 is a `hidden beast` number, since 2 + 522 + 3 + 7 + 92 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9080565264 + 16143227136 = 95292^2 + 127056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9527877 + ... + 9530523.

Almost surely, 2^25223792400 is an apocalyptic number.

25223792400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25223792400 is the 158820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25223792400

25223792400 is an abundant number, since it is smaller than the sum of its proper divisors (62342855301).

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

25223792400 is an equidigital number, since it uses as much as digits as its factorization.

25223792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 25223792400 by its sum of digits (36), we get a square (908056526400 = 952920²).

25223792400 divided by its sum of digits (36) gives a square (700660900 = 26470²).

The spelling of 25223792400 in words is "twenty-five billion, two hundred twenty-three million, seven hundred ninety-two thousand, four hundred".