86805884890368 has 324 divisors, whose sum is σ = 291938709316800. Its totient is φ = 24734090078208.

The previous prime is 86805884890331. The next prime is 86805884890379. The reversal of 86805884890368 is 86309848850868.

86805884890368 is a `hidden beast` number, since 8 + 6 + 80 + 58 + 8 + 48 + 90 + 368 = 666.

86805884890368 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40385283 + ... + 42480381.

Almost surely, 2^{86805884890368} 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 86805884890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145969354658400).

86805884890368 is an abundant number, since it is smaller than the sum of its proper divisors (205132824426432).

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

86805884890368 is a wasteful number, since it uses less digits than its factorization.

86805884890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095502 (or 2095478 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 81.

The spelling of 86805884890368 in words is "eighty-six trillion, eight hundred five billion, eight hundred eighty-four million, eight hundred ninety thousand, three hundred sixty-eight".