86056711290 has 144 divisors (see below), whose sum is σ = 246880617984. Its totient is φ = 20782217280.

The previous prime is 86056711259. The next prime is 86056711291. The reversal of 86056711290 is 9211765068.

86056711290 is a `hidden beast` number, since 8 + 60 + 567 + 1 + 1 + 29 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86056711291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2849047 + ... + 2879093.

It is an arithmetic number, because the mean of its divisors is an integer number (1714448736).

Almost surely, 2^86056711290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86056711290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123440308992).

86056711290 is an abundant number, since it is smaller than the sum of its proper divisors (160823906694).

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

86056711290 is a wasteful number, since it uses less digits than its factorization.

86056711290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30345 (or 30331 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 86056711290 in words is "eighty-six billion, fifty-six million, seven hundred eleven thousand, two hundred ninety".