25538114160 has 480 divisors, whose sum is σ = 96605483520. Its totient is φ = 6232495104.

The previous prime is 25538114143. The next prime is 25538114177. The reversal of 25538114160 is 6141183552.

25538114160 is a `hidden beast` number, since 2 + 5 + 538 + 114 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25538114143) and next prime (25538114177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35127717 + ... + 35128443.

It is an arithmetic number, because the mean of its divisors is an integer number (201261424).

Almost surely, 2^25538114160 is an apocalyptic number.

25538114160 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 25538114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48302741760).

25538114160 is an abundant number, since it is smaller than the sum of its proper divisors (71067369360).

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

25538114160 is a wasteful number, since it uses less digits than its factorization.

25538114160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 25538114160 in words is "twenty-five billion, five hundred thirty-eight million, one hundred fourteen thousand, one hundred sixty".