91741870080 has 1152 divisors, whose sum is σ = 394944076800. Its totient is φ = 19970260992.

The previous prime is 91741870043. The next prime is 91741870153. The reversal of 91741870080 is 8007814719.

91741870080 is a `hidden beast` number, since 91 + 7 + 418 + 70 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400619406 + ... + 400619634.

It is an arithmetic number, because the mean of its divisors is an integer number (342833400).

Almost surely, 2^91741870080 is an apocalyptic number.

91741870080 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 91741870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197472038400).

91741870080 is an abundant number, since it is smaller than the sum of its proper divisors (303202206720).

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

91741870080 is a wasteful number, since it uses less digits than its factorization.

91741870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 91741870080 in words is "ninety-one billion, seven hundred forty-one million, eight hundred seventy thousand, eighty".