91871095680 has 1152 divisors, whose sum is σ = 404043232320. Its totient is φ = 19118260224.

The previous prime is 91871095627. The next prime is 91871095699. The reversal of 91871095680 is 8659017819.

91871095680 is a `hidden beast` number, since 9 + 1 + 8 + 71 + 0 + 9 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1258508124 + ... + 1258508196.

Almost surely, 2^91871095680 is an apocalyptic number.

91871095680 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 91871095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202021616160).

91871095680 is an abundant number, since it is smaller than the sum of its proper divisors (312172136640).

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

91871095680 is an equidigital number, since it uses as much as digits as its factorization.

91871095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 91871095680 in words is "ninety-one billion, eight hundred seventy-one million, ninety-five thousand, six hundred eighty".