25945380864000 has 2400 divisors, whose sum is σ = 106611313064256. Its totient is φ = 6238450483200.

The previous prime is 25945380863999. The next prime is 25945380864023. The reversal of 25945380864000 is 46808354952.

25945380864000 is a `hidden beast` number, since 2 + 59 + 453 + 80 + 8 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114296831887 + ... + 114296832113.

Almost surely, 2^{25945380864000} is an apocalyptic number.

25945380864000 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 25945380864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53305656532128).

25945380864000 is an abundant number, since it is smaller than the sum of its proper divisors (80665932200256).

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

25945380864000 is an equidigital number, since it uses as much as digits as its factorization.

25945380864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 25945380864000 in words is "twenty-five trillion, nine hundred forty-five billion, three hundred eighty million, eight hundred sixty-four thousand".