91877068800 has 1560 divisors, whose sum is σ = 398188755360. Its totient is φ = 20702822400.

The previous prime is 91877068763. The next prime is 91877068847. The reversal of 91877068800 is 886077819.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1733529574 + ... + 1733529626.

Almost surely, 2^91877068800 is an apocalyptic number.

91877068800 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 91877068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199094377680).

91877068800 is an abundant number, since it is smaller than the sum of its proper divisors (306311686560).

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

91877068800 is a wasteful number, since it uses less digits than its factorization.

91877068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 91877068800 in words is "ninety-one billion, eight hundred seventy-seven million, sixty-eight thousand, eight hundred".