25388138280960 has 1728 divisors, whose sum is σ = 116718853305600. Its totient is φ = 5041324818432.

The previous prime is 25388138280917. The next prime is 25388138280971. The reversal of 25388138280960 is 6908283188352.

25388138280960 is a `hidden beast` number, since 2 + 5 + 388 + 13 + 82 + 80 + 96 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 997987921 + ... + 998013359.

It is an arithmetic number, because the mean of its divisors is an integer number (67545632700).

Almost surely, 2^{25388138280960} is an apocalyptic number.

25388138280960 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 25388138280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359426652800).

25388138280960 is an abundant number, since it is smaller than the sum of its proper divisors (91330715024640).

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

25388138280960 is a wasteful number, since it uses less digits than its factorization.

25388138280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25516 (or 25486 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 25388138280960 in words is "twenty-five trillion, three hundred eighty-eight billion, one hundred thirty-eight million, two hundred eighty thousand, nine hundred sixty".