91709306680320 has 2112 divisors, whose sum is σ = 390453112108800. Its totient is φ = 20599563091968.

The previous prime is 91709306680301. The next prime is 91709306680363. The reversal of 91709306680320 is 2308660390719.

91709306680320 is a `hidden beast` number, since 9 + 1 + 7 + 0 + 9 + 306 + 6 + 8 + 0 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32371797624 + ... + 32371800456.

Almost surely, 2^{91709306680320} is an apocalyptic number.

91709306680320 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 91709306680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195226556054400).

91709306680320 is an abundant number, since it is smaller than the sum of its proper divisors (298743805428480).

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

91709306680320 is an equidigital number, since it uses as much as digits as its factorization.

91709306680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 91709306680320 in words is "ninety-one trillion, seven hundred nine billion, three hundred six million, six hundred eighty thousand, three hundred twenty".