91493550720 has 768 divisors, whose sum is σ = 374838347520. Its totient is φ = 20272250880.

The previous prime is 91493550719. The next prime is 91493550721. The reversal of 91493550720 is 2705539419.

It is a happy number.

91493550720 is a `hidden beast` number, since 9 + 1 + 4 + 93 + 550 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (91493550719) and next prime (91493550721).

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

It is not an unprimeable number, because it can be changed into a prime (91493550721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93075349 + ... + 93076331.

It is an arithmetic number, because the mean of its divisors is an integer number (488070765).

Almost surely, 2^91493550720 is an apocalyptic number.

91493550720 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 91493550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187419173760).

91493550720 is an abundant number, since it is smaller than the sum of its proper divisors (283344796800).

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

91493550720 is a wasteful number, since it uses less digits than its factorization.

91493550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 91493550720 in words is "ninety-one billion, four hundred ninety-three million, five hundred fifty thousand, seven hundred twenty".