9079681043160 has 512 divisors, whose sum is σ = 39210506496000. Its totient is φ = 1814885554176.

The previous prime is 9079681043149. The next prime is 9079681043269. The reversal of 9079681043160 is 613401869709.

9079681043160 is a `hidden beast` number, since 9 + 0 + 79 + 6 + 81 + 0 + 431 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9079681043097 and 9079681043106.

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 127 ways as a sum of consecutive naturals, for example, 563887 + ... + 4298526.

It is an arithmetic number, because the mean of its divisors is an integer number (76583020500).

Almost surely, 2^{9079681043160} is an apocalyptic number.

9079681043160 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 9079681043160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605253248000).

9079681043160 is an abundant number, since it is smaller than the sum of its proper divisors (30130825452840).

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

9079681043160 is a wasteful number, since it uses less digits than its factorization.

9079681043160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862472 (or 4862462 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 9079681043160 in words is "nine trillion, seventy-nine billion, six hundred eighty-one million, forty-three thousand, one hundred sixty".