25084570080 has 192 divisors, whose sum is σ = 82377824256. Its totient is φ = 6408960000.

The previous prime is 25084569953. The next prime is 25084570081. The reversal of 25084570080 is 8007548052.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25084570081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494535 + ... + 1511225.

It is an arithmetic number, because the mean of its divisors is an integer number (429051168).

Almost surely, 2^25084570080 is an apocalyptic number.

25084570080 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 25084570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41188912128).

25084570080 is an abundant number, since it is smaller than the sum of its proper divisors (57293254176).

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

25084570080 is a wasteful number, since it uses less digits than its factorization.

25084570080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16841 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 25084570080 in words is "twenty-five billion, eighty-four million, five hundred seventy thousand, eighty".