91968307200 has 1428 divisors, whose sum is σ = 426343554528. Its totient is φ = 19110297600.

The previous prime is 91968307181. The next prime is 91968307213. The reversal of 91968307200 is 270386919.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 4! ⋅ (2!)³.

It is a super-3 number, since 3×91968307200³ (a number of 34 digits) contains 333 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 83 ways as a sum of consecutive naturals, for example, 8360755195 + ... + 8360755205.

Almost surely, 2^91968307200 is an apocalyptic number.

91968307200 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 91968307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213171777264).

91968307200 is an abundant number, since it is smaller than the sum of its proper divisors (334375247328).

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

91968307200 is an frugal number, since it uses more digits than its factorization.

91968307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 91968307200 in words is "ninety-one billion, nine hundred sixty-eight million, three hundred seven thousand, two hundred".