25567876256832 has 1344 divisors, whose sum is σ = 98638273843200. Its totient is φ = 6141671424000.

The previous prime is 25567876256809. The next prime is 25567876256843. The reversal of 25567876256832 is 23865267876552.

25567876256832 is a `hidden beast` number, since 2 + 5 + 56 + 7 + 8 + 7 + 6 + 2 + 568 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7249183453 + ... + 7249186979.

It is an arithmetic number, because the mean of its divisors is an integer number (73391572800).

Almost surely, 2^{25567876256832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25567876256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49319136921600).

25567876256832 is an abundant number, since it is smaller than the sum of its proper divisors (73070397586368).

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

25567876256832 is a wasteful number, since it uses less digits than its factorization.

25567876256832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3851 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 25567876256832 in words is "twenty-five trillion, five hundred sixty-seven billion, eight hundred seventy-six million, two hundred fifty-six thousand, eight hundred thirty-two".