25392328416 has 600 divisors, whose sum is σ = 94345297200. Its totient is φ = 6696877824.

The previous prime is 25392328393. The next prime is 25392328421. The reversal of 25392328416 is 61482329352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25392328416 is a `hidden beast` number, since 2 + 539 + 2 + 32 + 84 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1953256026 + ... + 1953256038.

It is an arithmetic number, because the mean of its divisors is an integer number (157242162).

Almost surely, 2^25392328416 is an apocalyptic number.

25392328416 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 25392328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47172648600).

25392328416 is an abundant number, since it is smaller than the sum of its proper divisors (68952968784).

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

25392328416 is an frugal number, since it uses more digits than its factorization.

25392328416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 25 counting only the distinct ones).

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

The spelling of 25392328416 in words is "twenty-five billion, three hundred ninety-two million, three hundred twenty-eight thousand, four hundred sixteen".