25998638400 has 504 divisors, whose sum is σ = 106734904640. Its totient is φ = 5879070720.

The previous prime is 25998638389. The next prime is 25998638401. The reversal of 25998638400 is 483689952.

25998638400 is a `hidden beast` number, since 2 + 599 + 8 + 6 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25998638401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9776271 + ... + 9778929.

Almost surely, 2^25998638400 is an apocalyptic number.

25998638400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25998638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53367452320).

25998638400 is an abundant number, since it is smaller than the sum of its proper divisors (80736266240).

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

25998638400 is a wasteful number, since it uses less digits than its factorization.

25998638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25998638400 in words is "twenty-five billion, nine hundred ninety-eight million, six hundred thirty-eight thousand, four hundred".