25516892160 has 280 divisors, whose sum is σ = 91489094136. Its totient is φ = 6803619840.

The previous prime is 25516892147. The next prime is 25516892161. The reversal of 25516892160 is 6129861552.

25516892160 is a `hidden beast` number, since 2 + 551 + 6 + 8 + 92 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×25516892160² (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 not an unprimeable number, because it can be changed into a prime (25516892161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3313915 + ... + 3321605.

Almost surely, 2^25516892160 is an apocalyptic number.

25516892160 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 25516892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45744547068).

25516892160 is an abundant number, since it is smaller than the sum of its proper divisors (65972201976).

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

25516892160 is an frugal number, since it uses more digits than its factorization.

25516892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 25516892160 in words is "twenty-five billion, five hundred sixteen million, eight hundred ninety-two thousand, one hundred sixty".