25806798160 has 320 divisors, whose sum is σ = 74191251456. Its totient is φ = 8218828800.

The previous prime is 25806798151. The next prime is 25806798161. The reversal of 25806798160 is 6189760852.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 25806798098 and 25806798107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25806798161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18795234 + ... + 18796606.

Almost surely, 2^25806798160 is an apocalyptic number.

25806798160 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 25806798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37095625728).

25806798160 is an abundant number, since it is smaller than the sum of its proper divisors (48384453296).

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

25806798160 is a wasteful number, since it uses less digits than its factorization.

25806798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 25806798160 in words is "twenty-five billion, eight hundred six million, seven hundred ninety-eight thousand, one hundred sixty".