9789725812416 has 168 divisors, whose sum is σ = 28831169525760. Its totient is φ = 2929031339520.

The previous prime is 9789725812357. The next prime is 9789725812453. The reversal of 9789725812416 is 6142185279879.

It is a super-2 number, since 2×9789725812416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831696 + ... + 4502351.

It is an arithmetic number, because the mean of its divisors is an integer number (171614104320).

Almost surely, 2^{9789725812416} is an apocalyptic number.

9789725812416 is a gapful number since it is divisible by the number (96) 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 9789725812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415584762880).

9789725812416 is an abundant number, since it is smaller than the sum of its proper divisors (19041443713344).

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

9789725812416 is a wasteful number, since it uses less digits than its factorization.

9789725812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334163 (or 5334142 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 69.

The spelling of 9789725812416 in words is "nine trillion, seven hundred eighty-nine billion, seven hundred twenty-five million, eight hundred twelve thousand, four hundred sixteen".