25163953871328 has 72 divisors (see below), whose sum is σ = 71560978889400. Its totient is φ = 8387869158144.

The previous prime is 25163953871327. The next prime is 25163953871347. The reversal of 25163953871328 is 82317835936152.

25163953871328 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 3 + 9 + 538 + 71 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25163953871327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21803238 + ... + 22928346.

It is an arithmetic number, because the mean of its divisors is an integer number (993902484575).

Almost surely, 2^{25163953871328} is an apocalyptic number.

It is an amenable number.

25163953871328 is an abundant number, since it is smaller than the sum of its proper divisors (46397025018072).

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

25163953871328 is a wasteful number, since it uses less digits than its factorization.

25163953871328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202784 (or 1202773 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 25163953871328 in words is "twenty-five trillion, one hundred sixty-three billion, nine hundred fifty-three million, eight hundred seventy-one thousand, three hundred twenty-eight".