86600190733056 has 3456 divisors, whose sum is σ = 374338377154560. Its totient is φ = 18510712012800.

The previous prime is 86600190732967. The next prime is 86600190733141. The reversal of 86600190733056 is 65033709100668.

86600190733056 is a `hidden beast` number, since 86 + 6 + 0 + 0 + 190 + 73 + 305 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86600190732993 and 86600190733011.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50261282211 + ... + 50261283933.

Almost surely, 2^{86600190733056} 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 86600190733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187169188577280).

86600190733056 is an abundant number, since it is smaller than the sum of its proper divisors (287738186421504).

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

86600190733056 is a wasteful number, since it uses less digits than its factorization.

86600190733056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 86600190733056 in words is "eighty-six trillion, six hundred billion, one hundred ninety million, seven hundred thirty-three thousand, fifty-six".