91796884538688 has 840 divisors, whose sum is σ = 325316176452960. Its totient is φ = 25501609728000.

The previous prime is 91796884538669. The next prime is 91796884538713. The reversal of 91796884538688 is 88683548869719.

91796884538688 is a `hidden beast` number, since 9 + 1 + 7 + 9 + 6 + 8 + 8 + 4 + 538 + 68 + 8 = 666.

It is a super-2 number, since 2×91796884538688² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91796884538598 and 91796884538607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21156228423 + ... + 21156232761.

It is an arithmetic number, because the mean of its divisors is an integer number (387281162444).

Almost surely, 2^{91796884538688} is an apocalyptic number.

91796884538688 is a gapful number since it is divisible by the number (98) 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 91796884538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162658088226480).

91796884538688 is an abundant number, since it is smaller than the sum of its proper divisors (233519291914272).

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

91796884538688 is a wasteful number, since it uses less digits than its factorization.

91796884538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6639 counting only the distinct ones).

The product of its digits is 40131624960, while the sum is 90.

The spelling of 91796884538688 in words is "ninety-one trillion, seven hundred ninety-six billion, eight hundred eighty-four million, five hundred thirty-eight thousand, six hundred eighty-eight".