86391667643904 has 240 divisors, whose sum is σ = 286143377794560. Its totient is φ = 24580053872640.

The previous prime is 86391667643899. The next prime is 86391667643909. The reversal of 86391667643904 is 40934676619368.

86391667643904 is a `hidden beast` number, since 8 + 6 + 3 + 9 + 166 + 76 + 4 + 390 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86391667643899) and next prime (86391667643909).

It is a super-2 number, since 2×86391667643904² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86391667643909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2106019 + ... + 13312349.

It is an arithmetic number, because the mean of its divisors is an integer number (1192264074144).

Almost surely, 2^{86391667643904} is an apocalyptic number.

86391667643904 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 86391667643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143071688897280).

86391667643904 is an abundant number, since it is smaller than the sum of its proper divisors (199751710150656).

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

86391667643904 is a wasteful number, since it uses less digits than its factorization.

86391667643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11206601 (or 11206582 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 86391667643904 in words is "eighty-six trillion, three hundred ninety-one billion, six hundred sixty-seven million, six hundred forty-three thousand, nine hundred four".