91827685152 has 384 divisors, whose sum is σ = 316872622080. Its totient is φ = 25317411840.

The previous prime is 91827685141. The next prime is 91827685171. The reversal of 91827685152 is 25158672819.

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

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, 121304358 + ... + 121305114.

It is an arithmetic number, because the mean of its divisors is an integer number (825189120).

Almost surely, 2^91827685152 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 91827685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158436311040).

91827685152 is an abundant number, since it is smaller than the sum of its proper divisors (225044936928).

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

91827685152 is a wasteful number, since it uses less digits than its factorization.

91827685152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1447 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 91827685152 in words is "ninety-one billion, eight hundred twenty-seven million, six hundred eighty-five thousand, one hundred fifty-two".