25807555920 has 160 divisors (see below), whose sum is σ = 80531988480. Its totient is φ = 6836738560.

The previous prime is 25807555897. The next prime is 25807555933. The reversal of 25807555920 is 2955570852.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25807555920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35893321 + ... + 35894039.

It is an arithmetic number, because the mean of its divisors is an integer number (503324928).

Almost surely, 2^25807555920 is an apocalyptic number.

25807555920 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 25807555920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40265994240).

25807555920 is an abundant number, since it is smaller than the sum of its proper divisors (54724432560).

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

25807555920 is a wasteful number, since it uses less digits than its factorization.

25807555920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

It can be divided in two parts, 2580755 and 5920, that added together give a triangular number (2586675 = T₂₂₇₄).

The spelling of 25807555920 in words is "twenty-five billion, eight hundred seven million, five hundred fifty-five thousand, nine hundred twenty".