91167127680 has 512 divisors, whose sum is σ = 318120929280. Its totient is φ = 22140518400.

The previous prime is 91167127619. The next prime is 91167127693. The reversal of 91167127680 is 8672176119.

It is a super-2 number, since 2×91167127680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77853495 + ... + 77854665.

It is an arithmetic number, because the mean of its divisors is an integer number (621329940).

Almost surely, 2^91167127680 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 91167127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159060464640).

91167127680 is an abundant number, since it is smaller than the sum of its proper divisors (226953801600).

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

91167127680 is a wasteful number, since it uses less digits than its factorization.

91167127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 91167127680 in words is "ninety-one billion, one hundred sixty-seven million, one hundred twenty-seven thousand, six hundred eighty".