25170828000 has 192 divisors, whose sum is σ = 83693046528. Its totient is φ = 6611827200.

The previous prime is 25170827989. The next prime is 25170828017. The reversal of 25170828000 is 82807152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788347 + ... + 819653.

It is an arithmetic number, because the mean of its divisors is an integer number (435901284).

Almost surely, 2^25170828000 is an apocalyptic number.

25170828000 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 25170828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41846523264).

25170828000 is an abundant number, since it is smaller than the sum of its proper divisors (58522218528).

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

25170828000 is a wasteful number, since it uses less digits than its factorization.

25170828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31402 (or 31384 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 25170828000 in words is "twenty-five billion, one hundred seventy million, eight hundred twenty-eight thousand".