86876165376 has 864 divisors, whose sum is σ = 339985551360. Its totient is φ = 20603289600.

The previous prime is 86876165359. The next prime is 86876165381. The reversal of 86876165376 is 67356167868.

86876165376 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 616 + 5 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×86876165376² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320576121 + ... + 320576391.

Almost surely, 2^86876165376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86876165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169992775680).

86876165376 is an abundant number, since it is smaller than the sum of its proper divisors (253109385984).

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

86876165376 is a wasteful number, since it uses less digits than its factorization.

86876165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

It can be divided in two parts, 86876 and 165376, that added together give a palindrome (252252).

The spelling of 86876165376 in words is "eighty-six billion, eight hundred seventy-six million, one hundred sixty-five thousand, three hundred seventy-six".