91956736080 has 640 divisors, whose sum is σ = 362856775680. Its totient is φ = 21187584000.

The previous prime is 91956736031. The next prime is 91956736099. The reversal of 91956736080 is 8063765919.

91956736080 is a `hidden beast` number, since 9 + 19 + 567 + 3 + 60 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104377240 + ... + 104378120.

It is an arithmetic number, because the mean of its divisors is an integer number (566963712).

Almost surely, 2^91956736080 is an apocalyptic number.

91956736080 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 91956736080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181428387840).

91956736080 is an abundant number, since it is smaller than the sum of its proper divisors (270900039600).

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

91956736080 is a wasteful number, since it uses less digits than its factorization.

91956736080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 91956736080 in words is "ninety-one billion, nine hundred fifty-six million, seven hundred thirty-six thousand, eighty".