25864315458336 has 768 divisors, whose sum is σ = 79658836992000. Its totient is φ = 8156439244800.

The previous prime is 25864315458287. The next prime is 25864315458391. The reversal of 25864315458336 is 63385451346852.

25864315458336 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 4 + 3 + 1 + 545 + 83 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78139925691 + ... + 78139926021.

It is an arithmetic number, because the mean of its divisors is an integer number (103722444000).

Almost surely, 2^{25864315458336} 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 25864315458336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39829418496000).

25864315458336 is an abundant number, since it is smaller than the sum of its proper divisors (53794521533664).

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

25864315458336 is a wasteful number, since it uses less digits than its factorization.

25864315458336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 25864315458336 in words is "twenty-five trillion, eight hundred sixty-four billion, three hundred fifteen million, four hundred fifty-eight thousand, three hundred thirty-six".