91870716600 has 576 divisors, whose sum is σ = 354292323840. Its totient is φ = 21134131200.

The previous prime is 91870716571. The next prime is 91870716677. The reversal of 91870716600 is 661707819.

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 143 ways as a sum of consecutive naturals, for example, 62453865 + ... + 62455335.

It is an arithmetic number, because the mean of its divisors is an integer number (615090840).

Almost surely, 2^91870716600 is an apocalyptic number.

91870716600 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 91870716600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177146161920).

91870716600 is an abundant number, since it is smaller than the sum of its proper divisors (262421607240).

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

91870716600 is a wasteful number, since it uses less digits than its factorization.

91870716600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 91870716600 in words is "ninety-one billion, eight hundred seventy million, seven hundred sixteen thousand, six hundred".