25803389160 has 320 divisors, whose sum is σ = 91643270400. Its totient is φ = 6501164544.

The previous prime is 25803389149. The next prime is 25803389173. The reversal of 25803389160 is 6198330852.

It is a happy number.

25803389160 is a `hidden beast` number, since 2 + 580 + 3 + 3 + 8 + 9 + 1 + 60 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4413199 + ... + 4419041.

It is an arithmetic number, because the mean of its divisors is an integer number (286385220).

Almost surely, 2^25803389160 is an apocalyptic number.

25803389160 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 25803389160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45821635200).

25803389160 is an abundant number, since it is smaller than the sum of its proper divisors (65839881240).

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

25803389160 is a wasteful number, since it uses less digits than its factorization.

25803389160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 25803389160 in words is "twenty-five billion, eight hundred three million, three hundred eighty-nine thousand, one hundred sixty".