25641317664000 has 288 divisors, whose sum is σ = 94630710545280. Its totient is φ = 6837684480000.

The previous prime is 25641317663989. The next prime is 25641317664013. The reversal of 25641317664000 is 46671314652.

25641317664000 is a `hidden beast` number, since 2 + 5 + 6 + 413 + 176 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13974726 + ... + 15702725.

It is an arithmetic number, because the mean of its divisors is an integer number (328578856060).

Almost surely, 2^{25641317664000} is an apocalyptic number.

25641317664000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25641317664000 is an abundant number, since it is smaller than the sum of its proper divisors (68989392881280).

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

25641317664000 is an equidigital number, since it uses as much as digits as its factorization.

25641317664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29677491 (or 29677461 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 25641317664000 its reverse (46671314652), we get a palindrome (25687988978652).

The spelling of 25641317664000 in words is "twenty-five trillion, six hundred forty-one billion, three hundred seventeen million, six hundred sixty-four thousand".