25325251056400 has 45 divisors (see below), whose sum is σ = 60844157471743. Its totient is φ = 10130060163200.

The previous prime is 25325251056377. The next prime is 25325251056449. The reversal of 25325251056400 is 465015252352.

The square root of 25325251056400 is 5032420.

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 7710240599824 + 17615010456576 = 2776732^2 + 4197024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100522590 + ... + 100774210.

Almost surely, 2^{25325251056400} is an apocalyptic number.

25325251056400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25325251056400 is the 5032420-th square number.

It is an amenable number.

25325251056400 is an abundant number, since it is smaller than the sum of its proper divisors (35518906415343).

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

25325251056400 is an frugal number, since it uses more digits than its factorization.

25325251056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503260 (or 251628 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 25325251056400 in words is "twenty-five trillion, three hundred twenty-five billion, two hundred fifty-one million, fifty-six thousand, four hundred".