91795770720 has 240 divisors, whose sum is σ = 325599674400. Its totient is φ = 24355178496.

The previous prime is 91795770679. The next prime is 91795770721. The reversal of 91795770720 is 2707759719.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91795770721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2561244 + ... + 2596836.

It is an arithmetic number, because the mean of its divisors is an integer number (1356665310).

Almost surely, 2^91795770720 is an apocalyptic number.

91795770720 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 91795770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162799837200).

91795770720 is an abundant number, since it is smaller than the sum of its proper divisors (233803903680).

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

91795770720 is a wasteful number, since it uses less digits than its factorization.

91795770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35819 (or 35802 counting only the distinct ones).

The product of its (nonzero) digits is 1944810, while the sum is 54.

The spelling of 91795770720 in words is "ninety-one billion, seven hundred ninety-five million, seven hundred seventy thousand, seven hundred twenty".