25807749120 has 272 divisors, whose sum is σ = 91791642720. Its totient is φ = 6879707136.

The previous prime is 25807749043. The next prime is 25807749133. The reversal of 25807749120 is 2194770852.

It is a happy number.

25807749120 is a `hidden beast` number, since 2 + 580 + 7 + 7 + 49 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8845902 + ... + 8848818.

Almost surely, 2^25807749120 is an apocalyptic number.

25807749120 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 25807749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895821360).

25807749120 is an abundant number, since it is smaller than the sum of its proper divisors (65983893600).

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

25807749120 is an frugal number, since it uses more digits than its factorization.

25807749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 25807749120 in words is "twenty-five billion, eight hundred seven million, seven hundred forty-nine thousand, one hundred twenty".