25651225600 has 891 divisors, whose sum is σ = 88035355611. Its totient is φ = 7380172800.

The previous prime is 25651225543. The next prime is 25651225603. The reversal of 25651225600 is 652215652.

The square root of 25651225600 is 160160.

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 6611641344 + 19039584256 = 81312^2 + 137984^2 .

It is not an unprimeable number, because it can be changed into a prime (25651225603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1973171194 + ... + 1973171206.

Almost surely, 2^25651225600 is an apocalyptic number.

25651225600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25651225600 is the 160160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25651225600

25651225600 is an abundant number, since it is smaller than the sum of its proper divisors (62384130011).

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

25651225600 is a wasteful number, since it uses less digits than its factorization.

25651225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 25651225600 in words is "twenty-five billion, six hundred fifty-one million, two hundred twenty-five thousand, six hundred".