86261082984 has 144 divisors (see below), whose sum is σ = 248836056300. Its totient is φ = 26990198784.

The previous prime is 86261082913. The next prime is 86261083043. The reversal of 86261082984 is 48928016268.

86261082984 is a `hidden beast` number, since 8 + 626 + 1 + 0 + 8 + 2 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32913942084 + 53347140900 = 181422^2 + 230970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86261082984.

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, 8088984 + ... + 8099640.

Almost surely, 2^86261082984 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 86261082984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124418028150).

86261082984 is an abundant number, since it is smaller than the sum of its proper divisors (162574973316).

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

86261082984 is a wasteful number, since it uses less digits than its factorization.

86261082984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 86261082984 in words is "eighty-six billion, two hundred sixty-one million, eighty-two thousand, nine hundred eighty-four".