25115910400 has 243 divisors, whose sum is σ = 72571755501. Its totient is φ = 8580741120.

The previous prime is 25115910389. The next prime is 25115910401. The reversal of 25115910400 is 401951152.

The square root of 25115910400 is 158480.

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

It can be written as a sum of positive squares in only one way, i.e., 9041727744 + 16074182656 = 95088^2 + 126784^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (25115910401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88748659 + ... + 88748941.

Almost surely, 2^25115910400 is an apocalyptic number.

25115910400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25115910400 is the 158480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25115910400

25115910400 is an abundant number, since it is smaller than the sum of its proper divisors (47455845101).

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

25115910400 is an frugal number, since it uses more digits than its factorization.

25115910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 25115910400 in words is "twenty-five billion, one hundred fifteen million, nine hundred ten thousand, four hundred".