86000458392 has 192 divisors, whose sum is σ = 245700000000. Its totient is φ = 27135247104.

The previous prime is 86000458391. The next prime is 86000458393. The reversal of 86000458392 is 29385400068.

86000458392 is a `hidden beast` number, since 8 + 60 + 0 + 0 + 4 + 583 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86000458391) and next prime (86000458393).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86000458391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61472109 + ... + 61473507.

It is an arithmetic number, because the mean of its divisors is an integer number (1279687500).

Almost surely, 2^86000458392 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 86000458392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122850000000).

86000458392 is an abundant number, since it is smaller than the sum of its proper divisors (159699541608).

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

86000458392 is a wasteful number, since it uses less digits than its factorization.

86000458392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86000458392 in words is "eighty-six billion, four hundred fifty-eight thousand, three hundred ninety-two".