86075458560 has 792 divisors, whose sum is σ = 369326617920. Its totient is φ = 18149474304.

The previous prime is 86075458559. The next prime is 86075458571. The reversal of 86075458560 is 6585457068.

86075458560 is a `hidden beast` number, since 8 + 6 + 0 + 7 + 54 + 585 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86075458497 and 86075458506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54511851 + ... + 54513429.

Almost surely, 2^86075458560 is an apocalyptic number.

86075458560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86075458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184663308960).

86075458560 is an abundant number, since it is smaller than the sum of its proper divisors (283251159360).

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

86075458560 is a wasteful number, since it uses less digits than its factorization.

86075458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 86075458560 in words is "eighty-six billion, seventy-five million, four hundred fifty-eight thousand, five hundred sixty".