25230217802400 has 1296 divisors, whose sum is σ = 101181315231360. Its totient is φ = 6131270246400.

The previous prime is 25230217802381. The next prime is 25230217802411. The reversal of 25230217802400 is 420871203252.

25230217802400 is a `hidden beast` number, since 2 + 5 + 2 + 30 + 217 + 8 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2595429540 + ... + 2595439260.

Almost surely, 2^{25230217802400} is an apocalyptic number.

25230217802400 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 25230217802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50590657615680).

25230217802400 is an abundant number, since it is smaller than the sum of its proper divisors (75951097428960).

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

25230217802400 is a wasteful number, since it uses less digits than its factorization.

25230217802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 25230217802400 in words is "twenty-five trillion, two hundred thirty billion, two hundred seventeen million, eight hundred two thousand, four hundred".