91686988800 has 1056 divisors, whose sum is σ = 380132812800. Its totient is φ = 21454848000.

The previous prime is 91686988759. The next prime is 91686988801. The reversal of 91686988800 is 888968619.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×91686988800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91686988801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235699006 + ... + 235699394.

Almost surely, 2^91686988800 is an apocalyptic number.

91686988800 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 91686988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190066406400).

91686988800 is an abundant number, since it is smaller than the sum of its proper divisors (288445824000).

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

91686988800 is a wasteful number, since it uses less digits than its factorization.

91686988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 91686988800 in words is "ninety-one billion, six hundred eighty-six million, nine hundred eighty-eight thousand, eight hundred".