25170829056 has 360 divisors, whose sum is σ = 79331646240. Its totient is φ = 7921926144.

The previous prime is 25170829007. The next prime is 25170829081. The reversal of 25170829056 is 65092807152.

25170829056 is a `hidden beast` number, since 2 + 517 + 0 + 82 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×25170829056² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42446296 + ... + 42446888.

It is an arithmetic number, because the mean of its divisors is an integer number (220365684).

Almost surely, 2^25170829056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25170829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39665823120).

25170829056 is an abundant number, since it is smaller than the sum of its proper divisors (54160817184).

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

25170829056 is an equidigital number, since it uses as much as digits as its factorization.

25170829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25170829056 in words is "twenty-five billion, one hundred seventy million, eight hundred twenty-nine thousand, fifty-six".