91796140800 has 1296 divisors, whose sum is σ = 410732544768. Its totient is φ = 19043942400.

The previous prime is 91796140757. The next prime is 91796140829. The reversal of 91796140800 is 804169719.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 435052695 + ... + 435052905.

Almost surely, 2^91796140800 is an apocalyptic number.

91796140800 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 91796140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205366272384).

91796140800 is an abundant number, since it is smaller than the sum of its proper divisors (318936403968).

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

91796140800 is a wasteful number, since it uses less digits than its factorization.

91796140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 91796140800 in words is "ninety-one billion, seven hundred ninety-six million, one hundred forty thousand, eight hundred".