86020088832 has 352 divisors, whose sum is σ = 265291200000. Its totient is φ = 27511750656.

The previous prime is 86020088801. The next prime is 86020088873. The reversal of 86020088832 is 23888002068.

86020088832 is a `hidden beast` number, since 8 + 602 + 0 + 0 + 8 + 8 + 8 + 32 = 666.

It is a super-2 number, since 2×86020088832² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68870544 + ... + 68871792.

Almost surely, 2^86020088832 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 86020088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132645600000).

86020088832 is an abundant number, since it is smaller than the sum of its proper divisors (179271111168).

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

86020088832 is a wasteful number, since it uses less digits than its factorization.

86020088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 86020088832 in words is "eighty-six billion, twenty million, eighty-eight thousand, eight hundred thirty-two".