91691308800 has 2160 divisors, whose sum is σ = 447256061280. Its totient is φ = 18207866880.

The previous prime is 91691308777. The next prime is 91691308811. The reversal of 91691308800 is 880319619.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×91691308800² (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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5393606392 + ... + 5393606408.

Almost surely, 2^91691308800 is an apocalyptic number.

91691308800 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 91691308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223628030640).

91691308800 is an abundant number, since it is smaller than the sum of its proper divisors (355564752480).

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

91691308800 is a wasteful number, since it uses less digits than its factorization.

91691308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 91691308800 in words is "ninety-one billion, six hundred ninety-one million, three hundred eight thousand, eight hundred".