86085531133056 has 1728 divisors, whose sum is σ = 328957473499200. Its totient is φ = 22327605780480.

The previous prime is 86085531133033. The next prime is 86085531133141. The reversal of 86085531133056 is 65033113558068.

86085531133056 is a `hidden beast` number, since 8 + 6 + 0 + 8 + 553 + 1 + 1 + 3 + 30 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86085531132993 and 86085531133011.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15711902925 + ... + 15711908403.

It is an arithmetic number, because the mean of its divisors is an integer number (190368908275).

Almost surely, 2^{86085531133056} 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 86085531133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164478736749600).

86085531133056 is an abundant number, since it is smaller than the sum of its proper divisors (242871942366144).

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

86085531133056 is a wasteful number, since it uses less digits than its factorization.

86085531133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 86085531133056 in words is "eighty-six trillion, eighty-five billion, five hundred thirty-one million, one hundred thirty-three thousand, fifty-six".