86306082390 has 320 divisors, whose sum is σ = 257680051200. Its totient is φ = 20553212160.

The previous prime is 86306082371. The next prime is 86306082413. The reversal of 86306082390 is 9328060368.

86306082390 is a `hidden beast` number, since 8 + 6 + 3 + 0 + 608 + 2 + 39 + 0 = 666.

It is a super-2 number, since 2×86306082390² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144083311 + ... + 144083909.

It is an arithmetic number, because the mean of its divisors is an integer number (805250160).

Almost surely, 2^86306082390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86306082390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128840025600).

86306082390 is an abundant number, since it is smaller than the sum of its proper divisors (171373968810).

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

86306082390 is a wasteful number, since it uses less digits than its factorization.

86306082390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 86306082390 in words is "eighty-six billion, three hundred six million, eighty-two thousand, three hundred ninety".