25638369120 has 864 divisors, whose sum is σ = 114556897728. Its totient is φ = 5083693056.

The previous prime is 25638369083. The next prime is 25638369143. The reversal of 25638369120 is 2196383652.

25638369120 is a `hidden beast` number, since 2 + 5 + 638 + 3 + 6 + 9 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×25638369120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 37870222 + ... + 37870898.

It is an arithmetic number, because the mean of its divisors is an integer number (132589002).

Almost surely, 2^25638369120 is an apocalyptic number.

25638369120 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 25638369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57278448864).

25638369120 is an abundant number, since it is smaller than the sum of its proper divisors (88918528608).

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

25638369120 is a wasteful number, since it uses less digits than its factorization.

25638369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 25638369120 in words is "twenty-five billion, six hundred thirty-eight million, three hundred sixty-nine thousand, one hundred twenty".