86836116576384 has 1536 divisors, whose sum is σ = 320528145600000. Its totient is φ = 23015988559872.

The previous prime is 86836116576371. The next prime is 86836116576401. The reversal of 86836116576384 is 48367561163868.

It is a happy number.

86836116576384 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 6 + 1 + 16 + 576 + 38 + 4 = 666.

86836116576384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×86836116576384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56059467642 + ... + 56059469190.

It is an arithmetic number, because the mean of its divisors is an integer number (208677178125).

Almost surely, 2^{86836116576384} is an apocalyptic number.

86836116576384 is a gapful number since it is divisible by the number (84) 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 86836116576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160264072800000).

86836116576384 is an abundant number, since it is smaller than the sum of its proper divisors (233692029023616).

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

86836116576384 is a wasteful number, since it uses less digits than its factorization.

86836116576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2010 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 86836116576384 in words is "eighty-six trillion, eight hundred thirty-six billion, one hundred sixteen million, five hundred seventy-six thousand, three hundred eighty-four".