25538986368 has 320 divisors, whose sum is σ = 87230293920. Its totient is φ = 7265894400.

The previous prime is 25538986337. The next prime is 25538986409. The reversal of 25538986368 is 86368983552.

25538986368 is a `hidden beast` number, since 2 + 5 + 538 + 98 + 6 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21264168 + ... + 21265368.

Almost surely, 2^25538986368 is an apocalyptic number.

25538986368 is a gapful number since it is divisible by the number (28) 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 25538986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43615146960).

25538986368 is an abundant number, since it is smaller than the sum of its proper divisors (61691307552).

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

25538986368 is a wasteful number, since it uses less digits than its factorization.

25538986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1506 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 25538986368 in words is "twenty-five billion, five hundred thirty-eight million, nine hundred eighty-six thousand, three hundred sixty-eight".