25599434095872 has 864 divisors, whose sum is σ = 96037264780800. Its totient is φ = 6665946513408.

The previous prime is 25599434095867. The next prime is 25599434095999. The reversal of 25599434095872 is 27859043499552.

25599434095872 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 9 + 4 + 34 + 0 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 25599434095872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347795778 + ... + 347869374.

Almost surely, 2^{25599434095872} 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 25599434095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48018632390400).

25599434095872 is an abundant number, since it is smaller than the sum of its proper divisors (70437830684928).

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

25599434095872 is a wasteful number, since it uses less digits than its factorization.

25599434095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73728 (or 73701 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 25599434095872 in words is "twenty-five trillion, five hundred ninety-nine billion, four hundred thirty-four million, ninety-five thousand, eight hundred seventy-two".