91786340800 has 504 divisors, whose sum is σ = 287279425440. Its totient is φ = 28250112000.

The previous prime is 91786340761. The next prime is 91786340801. The reversal of 91786340800 is 804368719.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91786340801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120612420 + ... + 120613180.

It is an arithmetic number, because the mean of its divisors is an integer number (569998860).

Almost surely, 2^91786340800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91786340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143639712720).

91786340800 is an abundant number, since it is smaller than the sum of its proper divisors (195493084640).

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

91786340800 is a wasteful number, since it uses less digits than its factorization.

91786340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 91786340800 in words is "ninety-one billion, seven hundred eighty-six million, three hundred forty thousand, eight hundred".