86138086320 has 480 divisors, whose sum is σ = 340974676224. Its totient is φ = 19212134400.

The previous prime is 86138086297. The next prime is 86138086337. The reversal of 86138086320 is 2368083168.

86138086320 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 8 + 0 + 8 + 632 + 0 = 666.

It is a super-2 number, since 2×86138086320² (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 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 95 ways as a sum of consecutive naturals, for example, 35725915 + ... + 35728325.

Almost surely, 2^86138086320 is an apocalyptic number.

86138086320 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 86138086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170487338112).

86138086320 is an abundant number, since it is smaller than the sum of its proper divisors (254836589904).

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

86138086320 is a wasteful number, since it uses less digits than its factorization.

86138086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86138086320 in words is "eighty-six billion, one hundred thirty-eight million, eighty-six thousand, three hundred twenty".