25978582040832 has 432 divisors, whose sum is σ = 79066937447680. Its totient is φ = 8516660889600.

The previous prime is 25978582040791. The next prime is 25978582040881. The reversal of 25978582040832 is 23804028587952.

It is a happy number.

25978582040832 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 8 + 582 + 0 + 40 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 25978582040832.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766322857 + ... + 2766332247.

Almost surely, 2^{25978582040832} 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 25978582040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533468723840).

25978582040832 is an abundant number, since it is smaller than the sum of its proper divisors (53088355406848).

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

25978582040832 is an frugal number, since it uses more digits than its factorization.

25978582040832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 25978582040832 in words is "twenty-five trillion, nine hundred seventy-eight billion, five hundred eighty-two million, forty thousand, eight hundred thirty-two".