91079493120 has 1280 divisors, whose sum is σ = 409645209600. Its totient is φ = 18632540160.

The previous prime is 91079493119. The next prime is 91079493143. The reversal of 91079493120 is 2139497019.

91079493120 is a `hidden beast` number, since 91 + 0 + 79 + 493 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×91079493120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 580124082 + ... + 580124238.

It is an arithmetic number, because the mean of its divisors is an integer number (320035320).

Almost surely, 2^91079493120 is an apocalyptic number.

91079493120 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 91079493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204822604800).

91079493120 is an abundant number, since it is smaller than the sum of its proper divisors (318565716480).

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

91079493120 is a wasteful number, since it uses less digits than its factorization.

91079493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 91079493120 in words is "ninety-one billion, seventy-nine million, four hundred ninety-three thousand, one hundred twenty".