86869691790336 has 2112 divisors, whose sum is σ = 329869445068800. Its totient is φ = 21856376586240.

The previous prime is 86869691790293. The next prime is 86869691790361. The reversal of 86869691790336 is 63309719696868.

86869691790336 is a `hidden beast` number, since 86 + 8 + 69 + 69 + 1 + 7 + 90 + 336 = 666.

It is a super-3 number, since 3×86869691790336³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 79188414940 + ... + 79188416036.

Almost surely, 2^{86869691790336} 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 86869691790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164934722534400).

86869691790336 is an abundant number, since it is smaller than the sum of its proper divisors (242999753278464).

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

86869691790336 is a wasteful number, since it uses less digits than its factorization.

86869691790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 86869691790336 in words is "eighty-six trillion, eight hundred sixty-nine billion, six hundred ninety-one million, seven hundred ninety thousand, three hundred thirty-six".