25918239638016 has 800 divisors, whose sum is σ = 89498364988032. Its totient is φ = 7380237680640.

The previous prime is 25918239637981. The next prime is 25918239638021. The reversal of 25918239638016 is 61083693281952.

25918239638016 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 8 + 239 + 6 + 380 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5638074630 + ... + 5638079226.

Almost surely, 2^{25918239638016} 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 25918239638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44749182494016).

25918239638016 is an abundant number, since it is smaller than the sum of its proper divisors (63580125350016).

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

25918239638016 is a wasteful number, since it uses less digits than its factorization.

25918239638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 25918239638016 in words is "twenty-five trillion, nine hundred eighteen billion, two hundred thirty-nine million, six hundred thirty-eight thousand, sixteen".