25749842160 has 320 divisors, whose sum is σ = 95243618304. Its totient is φ = 5631897600.

The previous prime is 25749842071. The next prime is 25749842161. The reversal of 25749842160 is 6124894752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25749842161) 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, 3788365 + ... + 3795155.

Almost surely, 2^25749842160 is an apocalyptic number.

25749842160 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 25749842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621809152).

25749842160 is an abundant number, since it is smaller than the sum of its proper divisors (69493776144).

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

25749842160 is a wasteful number, since it uses less digits than its factorization.

25749842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 25749842160 in words is "twenty-five billion, seven hundred forty-nine million, eight hundred forty-two thousand, one hundred sixty".