25488118656 has 1152 divisors, whose sum is σ = 106180139520. Its totient is φ = 5656780800.

The previous prime is 25488118639. The next prime is 25488118709. The reversal of 25488118656 is 65681188452.

25488118656 is a `hidden beast` number, since 2 + 548 + 8 + 11 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (3686400) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 822197361 + ... + 822197391.

It is an arithmetic number, because the mean of its divisors is an integer number (92170260).

Almost surely, 2^25488118656 is an apocalyptic number.

25488118656 is a gapful number since it is divisible by the number (26) 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 25488118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090069760).

25488118656 is an abundant number, since it is smaller than the sum of its proper divisors (80692020864).

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

25488118656 is a wasteful number, since it uses less digits than its factorization.

25488118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 25488118656 in words is "twenty-five billion, four hundred eighty-eight million, one hundred eighteen thousand, six hundred fifty-six".