91728370191360 has 2816 divisors, whose sum is σ = 381951413452800. Its totient is φ = 18308174708736.

The previous prime is 91728370191323. The next prime is 91728370191413. The reversal of 91728370191360 is 6319107382719.

It is a super-3 number, since 3×91728370191360³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 91728370191360.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 161209789156 + ... + 161209789724.

Almost surely, 2^{91728370191360} 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 91728370191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190975706726400).

91728370191360 is an abundant number, since it is smaller than the sum of its proper divisors (290223043261440).

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

91728370191360 is a wasteful number, since it uses less digits than its factorization.

91728370191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 91728370191360 in words is "ninety-one trillion, seven hundred twenty-eight billion, three hundred seventy million, one hundred ninety-one thousand, three hundred sixty".