25598716416 has 1440 divisors, whose sum is σ = 106975028160. Its totient is φ = 6019743744.

The previous prime is 25598716357. The next prime is 25598716439. The reversal of 25598716416 is 61461789552.

It is a happy number.

25598716416 is a `hidden beast` number, since 2 + 5 + 598 + 7 + 1 + 6 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3628800) is a multiple of the sum of its prime factors (96).

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 143 ways as a sum of consecutive naturals, for example, 1347300855 + ... + 1347300873.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 2^25598716416 is an apocalyptic number.

25598716416 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 25598716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487514080).

25598716416 is an abundant number, since it is smaller than the sum of its proper divisors (81376311744).

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

25598716416 is a wasteful number, since it uses less digits than its factorization.

25598716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 25598716416 in words is "twenty-five billion, five hundred ninety-eight million, seven hundred sixteen thousand, four hundred sixteen".