86683669800 has 768 divisors, whose sum is σ = 357817098240. Its totient is φ = 16838737920.

The previous prime is 86683669789. The next prime is 86683669823. The reversal of 86683669800 is 896638668.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43624407 + ... + 43626393.

It is an arithmetic number, because the mean of its divisors is an integer number (465907680).

Almost surely, 2^86683669800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86683669800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178908549120).

86683669800 is an abundant number, since it is smaller than the sum of its proper divisors (271133428440).

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

86683669800 is a wasteful number, since it uses less digits than its factorization.

86683669800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 86683669800 in words is "eighty-six billion, six hundred eighty-three million, six hundred sixty-nine thousand, eight hundred".