91711872000 has 1408 divisors, whose sum is σ = 412014919680. Its totient is φ = 19641139200.

The previous prime is 91711871957. The next prime is 91711872013. The reversal of 91711872000 is 27811719.

It is a super-2 number, since 2×91711872000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 411263889 + ... + 411264111.

Almost surely, 2^91711872000 is an apocalyptic number.

91711872000 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 91711872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206007459840).

91711872000 is an abundant number, since it is smaller than the sum of its proper divisors (320303047680).

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

91711872000 is a wasteful number, since it uses less digits than its factorization.

91711872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 91711872000 in words is "ninety-one billion, seven hundred eleven million, eight hundred seventy-two thousand".