91761868800 has 918 divisors, whose sum is σ = 385386488448. Its totient is φ = 20808990720.

The previous prime is 91761868771. The next prime is 91761868853. The reversal of 91761868800 is 886816719.

91761868800 is a `hidden beast` number, since 9 + 17 + 618 + 6 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 722534337 + ... + 722534463.

Almost surely, 2^91761868800 is an apocalyptic number.

91761868800 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 91761868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192693244224).

91761868800 is an abundant number, since it is smaller than the sum of its proper divisors (293624619648).

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

91761868800 is a wasteful number, since it uses less digits than its factorization.

91761868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 91761868800 in words is "ninety-one billion, seven hundred sixty-one million, eight hundred sixty-eight thousand, eight hundred".