25211088400 has 135 divisors (see below), whose sum is σ = 64480216039. Its totient is φ = 9470909440.

The previous prime is 25211088359. The next prime is 25211088403. The reversal of 25211088400 is 488011252.

The square root of 25211088400 is 158780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 589712656 + 24621375744 = 24284^2 + 156912^2 .

It is a super-2 number, since 2×25211088400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25211088403) 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, 53984967 + ... + 53985433.

Almost surely, 2^25211088400 is an apocalyptic number.

25211088400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25211088400 is the 158780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25211088400

25211088400 is an abundant number, since it is smaller than the sum of its proper divisors (39269127639).

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

25211088400 is an equidigital number, since it uses as much as digits as its factorization.

25211088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

Adding to 25211088400 its reverse (488011252), we get a palindrome (25699099652).

The spelling of 25211088400 in words is "twenty-five billion, two hundred eleven million, eighty-eight thousand, four hundred".