91206960768 has 512 divisors, whose sum is σ = 339469056000. Its totient is φ = 23417856000.

The previous prime is 91206960731. The next prime is 91206960781. The reversal of 91206960768 is 86706960219.

91206960768 is a `hidden beast` number, since 9 + 1 + 20 + 6 + 9 + 607 + 6 + 8 = 666.

It is a super-2 number, since 2×91206960768² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23682043 + ... + 23685893.

It is an arithmetic number, because the mean of its divisors is an integer number (663025500).

Almost surely, 2^91206960768 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 91206960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169734528000).

91206960768 is an abundant number, since it is smaller than the sum of its proper divisors (248262095232).

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

91206960768 is a wasteful number, since it uses less digits than its factorization.

91206960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 91206960768 in words is "ninety-one billion, two hundred six million, nine hundred sixty thousand, seven hundred sixty-eight".