25716904012800 has 6336 divisors, whose sum is σ = 133091970457600. Its totient is φ = 4729798656000.

The previous prime is 25716904012777. The next prime is 25716904012871. The reversal of 25716904012800 is 821040961752.

25716904012800 is a `hidden beast` number, since 2 + 5 + 7 + 169 + 0 + 401 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×25716904012800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 235934899146 + ... + 235934899254.

Almost surely, 2^{25716904012800} is an apocalyptic number.

25716904012800 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 25716904012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66545985228800).

25716904012800 is an abundant number, since it is smaller than the sum of its proper divisors (107375066444800).

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

25716904012800 is a wasteful number, since it uses less digits than its factorization.

25716904012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 25716904012800 in words is "twenty-five trillion, seven hundred sixteen billion, nine hundred four million, twelve thousand, eight hundred".