86397679368 has 864 divisors, whose sum is σ = 325317021120. Its totient is φ = 20262528000.

The previous prime is 86397679349. The next prime is 86397679387.

86397679368 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86397679349) and next prime (86397679387).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86397679296 and 86397679305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 855422518 + ... + 855422618.

It is an arithmetic number, because the mean of its divisors is an integer number (376524330).

Almost surely, 2^86397679368 is an apocalyptic number.

86397679368 is a gapful number since it is divisible by the number (88) 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 86397679368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162658510560).

86397679368 is an abundant number, since it is smaller than the sum of its proper divisors (238919341752).

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

86397679368 is a wasteful number, since it uses less digits than its factorization.

86397679368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 86397679368 in words is "eighty-six billion, three hundred ninety-seven million, six hundred seventy-nine thousand, three hundred sixty-eight".