91687717886400 has 1680 divisors, whose sum is σ = 358867553381568. Its totient is φ = 22911787008000.

The previous prime is 91687717886329. The next prime is 91687717886449. The reversal of 91687717886400 is 468871778619.

91687717886400 is a `hidden beast` number, since 9 + 1 + 6 + 8 + 7 + 71 + 78 + 86 + 400 = 666.

It is a super-2 number, since 2×91687717886400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53275837540 + ... + 53275839260.

Almost surely, 2^{91687717886400} is an apocalyptic number.

91687717886400 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 91687717886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179433776690784).

91687717886400 is an abundant number, since it is smaller than the sum of its proper divisors (267179835495168).

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

91687717886400 is a wasteful number, since it uses less digits than its factorization.

91687717886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 91687717886400 in words is "ninety-one trillion, six hundred eighty-seven billion, seven hundred seventeen million, eight hundred eighty-six thousand, four hundred".