25242854400 has 297 divisors, whose sum is σ = 90655241313. Its totient is φ = 6711091200.

The previous prime is 25242854387. The next prime is 25242854411. The reversal of 25242854400 is 445824252.

The square root of 25242854400 is 158880.

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

25242854400 is a `hidden beast` number, since 2 + 5 + 242 + 8 + 5 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9087427584 + 16155426816 = 95328^2 + 127104^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76262235 + ... + 76262565.

Almost surely, 2^25242854400 is an apocalyptic number.

25242854400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25242854400 is the 158880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25242854400

25242854400 is an abundant number, since it is smaller than the sum of its proper divisors (65412386913).

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

25242854400 is an equidigital number, since it uses as much as digits as its factorization.

25242854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Multiplying 25242854400 by its sum of digits (36), we get a square (908742758400 = 953280²).

25242854400 divided by its sum of digits (36) gives a square (701190400 = 26480²).

The spelling of 25242854400 in words is "twenty-five billion, two hundred forty-two million, eight hundred fifty-four thousand, four hundred".