25084491264 has 640 divisors, whose sum is σ = 88952878080. Its totient is φ = 6831931392.

The previous prime is 25084491209. The next prime is 25084491283. The reversal of 25084491264 is 46219448052.

It is a happy number.

25084491264 is a `hidden beast` number, since 25 + 0 + 84 + 491 + 2 + 64 = 666.

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 63 ways as a sum of consecutive naturals, for example, 343623132 + ... + 343623204.

It is an arithmetic number, because the mean of its divisors is an integer number (138988872).

Almost surely, 2^25084491264 is an apocalyptic number.

25084491264 is a gapful number since it is divisible by the number (24) 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 25084491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476439040).

25084491264 is an abundant number, since it is smaller than the sum of its proper divisors (63868386816).

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

25084491264 is an equidigital number, since it uses as much as digits as its factorization.

25084491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 25084491264 in words is "twenty-five billion, eighty-four million, four hundred ninety-one thousand, two hundred sixty-four".