91966222260 has 672 divisors, whose sum is σ = 339116803200. Its totient is φ = 20692869120.

The previous prime is 91966222241. The next prime is 91966222289. The reversal of 91966222260 is 6222266919.

91966222260 is a `hidden beast` number, since 9 + 19 + 6 + 622 + 2 + 2 + 6 + 0 = 666.

It is a super-3 number, since 3×91966222260³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 242654751 + ... + 242655129.

It is an arithmetic number, because the mean of its divisors is an integer number (504638100).

Almost surely, 2^91966222260 is an apocalyptic number.

91966222260 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 91966222260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169558401600).

91966222260 is an abundant number, since it is smaller than the sum of its proper divisors (247150580940).

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

91966222260 is a wasteful number, since it uses less digits than its factorization.

91966222260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 91966222260 in words is "ninety-one billion, nine hundred sixty-six million, two hundred twenty-two thousand, two hundred sixty".