25252364203200 has 504 divisors, whose sum is σ = 94099286950656. Its totient is φ = 6410638080000.

The previous prime is 25252364203169. The next prime is 25252364203217. The reversal of 25252364203200 is 230246325252.

25252364203200 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 3 + 642 + 0 + 3 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69702525 + ... + 70063875.

Almost surely, 2^{25252364203200} is an apocalyptic number.

25252364203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25252364203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47049643475328).

25252364203200 is an abundant number, since it is smaller than the sum of its proper divisors (68846922747456).

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

25252364203200 is a wasteful number, since it uses less digits than its factorization.

25252364203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361613 (or 361595 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 25252364203200 in words is "twenty-five trillion, two hundred fifty-two billion, three hundred sixty-four million, two hundred three thousand, two hundred".