9157789782960 has 960 divisors, whose sum is σ = 36297599554944. Its totient is φ = 1892627251200.

The previous prime is 9157789782929. The next prime is 9157789782961. The reversal of 9157789782960 is 692879877519.

It is a super-2 number, since 2×9157789782960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (9157789782961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2396697850 + ... + 2396701670.

Almost surely, 2^{9157789782960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9157789782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148799777472).

9157789782960 is an abundant number, since it is smaller than the sum of its proper divisors (27139809771984).

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

9157789782960 is a wasteful number, since it uses less digits than its factorization.

9157789782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 78.

The spelling of 9157789782960 in words is "nine trillion, one hundred fifty-seven billion, seven hundred eighty-nine million, seven hundred eighty-two thousand, nine hundred sixty".