9097159680 has 1056 divisors, whose sum is σ = 40324262400. Its totient is φ = 1932263424.

The previous prime is 9097159661. The next prime is 9097159699. The reversal of 9097159680 is 869517909.

It is an interprime number because it is at equal distance from previous prime (9097159661) and next prime (9097159699).

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

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 95 ways as a sum of consecutive naturals, for example, 115153881 + ... + 115153959.

Almost surely, 2^9097159680 is an apocalyptic number.

9097159680 is a gapful number since it is divisible by the number (90) 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 9097159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162131200).

9097159680 is an abundant number, since it is smaller than the sum of its proper divisors (31227102720).

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

9097159680 is a wasteful number, since it uses less digits than its factorization.

9097159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9097159680 is about 95379.0316579069. The cubic root of 9097159680 is about 2087.5422434231.

The spelling of 9097159680 in words is "nine billion, ninety-seven million, one hundred fifty-nine thousand, six hundred eighty".