91434975660 has 1152 divisors, whose sum is σ = 375659182080. Its totient is φ = 18166726656.

The previous prime is 91434975601. The next prime is 91434975707. The reversal of 91434975660 is 6657943419.

91434975660 is a `hidden beast` number, since 9 + 1 + 43 + 497 + 56 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 91434975597 and 91434975606.

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 383 ways as a sum of consecutive naturals, for example, 582388302 + ... + 582388458.

It is an arithmetic number, because the mean of its divisors is an integer number (326093040).

Almost surely, 2^91434975660 is an apocalyptic number.

91434975660 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 91434975660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187829591040).

91434975660 is an abundant number, since it is smaller than the sum of its proper divisors (284224206420).

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

91434975660 is a wasteful number, since it uses less digits than its factorization.

91434975660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 91434975660 in words is "ninety-one billion, four hundred thirty-four million, nine hundred seventy-five thousand, six hundred sixty".