91175043960 has 2048 divisors, whose sum is σ = 446255308800. Its totient is φ = 16057958400.

The previous prime is 91175043931. The next prime is 91175044007. The reversal of 91175043960 is 6934057119.

91175043960 is a `hidden beast` number, since 91 + 1 + 75 + 0 + 439 + 60 = 666.

It is a super-2 number, since 2×91175043960² (a number of 23 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2223781540 + ... + 2223781580.

It is an arithmetic number, because the mean of its divisors is an integer number (217898100).

Almost surely, 2^91175043960 is an apocalyptic number.

91175043960 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 91175043960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223127654400).

91175043960 is an abundant number, since it is smaller than the sum of its proper divisors (355080264840).

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

91175043960 is a wasteful number, since it uses less digits than its factorization.

91175043960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 91175043960 in words is "ninety-one billion, one hundred seventy-five million, forty-three thousand, nine hundred sixty".