25096896400 has 75 divisors (see below), whose sum is σ = 60980467381. Its totient is φ = 9925963520.

The previous prime is 25096896371. The next prime is 25096896401. The reversal of 25096896400 is 469869052.

The square root of 25096896400 is 158420.

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

It can be written as a sum of positive squares in 7 ways, for example, as 25086758544 + 10137856 = 158388^2 + 3184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25096896401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 281987556 + ... + 281987644.

Almost surely, 2^25096896400 is an apocalyptic number.

25096896400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25096896400 is the 158420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25096896400

25096896400 is an abundant number, since it is smaller than the sum of its proper divisors (35883570981).

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

25096896400 is an frugal number, since it uses more digits than its factorization.

25096896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 25096896400 by its sum of digits (49), we get a square (1229747923600 = 1108940²).

The spelling of 25096896400 in words is "twenty-five billion, ninety-six million, eight hundred ninety-six thousand, four hundred".