25801727040 has 280 divisors, whose sum is σ = 92010219840. Its totient is φ = 6863311872.

The previous prime is 25801726939. The next prime is 25801727051. The reversal of 25801727040 is 4072710852.

25801727040 is a `hidden beast` number, since 2 + 580 + 1 + 7 + 2 + 70 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25801726986 and 25801727004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13036771 + ... + 13038749.

It is an arithmetic number, because the mean of its divisors is an integer number (328607928).

Almost surely, 2^25801727040 is an apocalyptic number.

25801727040 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 25801727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46005109920).

25801727040 is an abundant number, since it is smaller than the sum of its proper divisors (66208492800).

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

25801727040 is a wasteful number, since it uses less digits than its factorization.

25801727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 25801727040 in words is "twenty-five billion, eight hundred one million, seven hundred twenty-seven thousand, forty".