86893760116800 has 2016 divisors, whose sum is σ = 394460565408000. Its totient is φ = 18022103285760.

The previous prime is 86893760116781. The next prime is 86893760116811. The reversal of 86893760116800 is 861106739868.

86893760116800 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 3 + 7 + 601 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3788354932 + ... + 3788377868.

It is an arithmetic number, because the mean of its divisors is an integer number (195664963000).

Almost surely, 2^{86893760116800} is an apocalyptic number.

86893760116800 is a gapful number since it is divisible by the number (80) 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 86893760116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197230282704000).

86893760116800 is an abundant number, since it is smaller than the sum of its proper divisors (307566805291200).

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

86893760116800 is a wasteful number, since it uses less digits than its factorization.

86893760116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23058 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 86893760116800 in words is "eighty-six trillion, eight hundred ninety-three billion, seven hundred sixty million, one hundred sixteen thousand, eight hundred".