91127909376 has 528 divisors, whose sum is σ = 311586283008. Its totient is φ = 25111756800.

The previous prime is 91127909363. The next prime is 91127909381. The reversal of 91127909376 is 67390972119.

It is a happy number.

It is a super-3 number, since 3×91127909376³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346493821 + ... + 346494083.

It is an arithmetic number, because the mean of its divisors is an integer number (590125536).

Almost surely, 2^91127909376 is an apocalyptic number.

91127909376 is a gapful number since it is divisible by the number (96) 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 91127909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155793141504).

91127909376 is an abundant number, since it is smaller than the sum of its proper divisors (220458373632).

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

91127909376 is a wasteful number, since it uses less digits than its factorization.

91127909376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 91127909376 in words is "ninety-one billion, one hundred twenty-seven million, nine hundred nine thousand, three hundred seventy-six".