25830264096 has 384 divisors, whose sum is σ = 97609881600. Its totient is φ = 6453457920.

The previous prime is 25830264067. The next prime is 25830264101. The reversal of 25830264096 is 69046203852.

25830264096 is a `hidden beast` number, since 2 + 583 + 0 + 2 + 64 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485211 + ... + 1502501.

It is an arithmetic number, because the mean of its divisors is an integer number (254192400).

Almost surely, 2^25830264096 is an apocalyptic number.

25830264096 is a gapful number since it is divisible by the number (26) 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 25830264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48804940800).

25830264096 is an abundant number, since it is smaller than the sum of its proper divisors (71779617504).

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

25830264096 is a wasteful number, since it uses less digits than its factorization.

25830264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17349 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 25830264096 in words is "twenty-five billion, eight hundred thirty million, two hundred sixty-four thousand, ninety-six".