86727672768 has 112 divisors (see below), whose sum is σ = 250430019840. Its totient is φ = 26270361600.

The previous prime is 86727672739. The next prime is 86727672781.

It is a happy number.

86727672768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 86727672699 and 86727672708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6263613 + ... + 6277443.

It is an arithmetic number, because the mean of its divisors is an integer number (2235982320).

Almost surely, 2^86727672768 is an apocalyptic number.

86727672768 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 86727672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215009920).

86727672768 is an abundant number, since it is smaller than the sum of its proper divisors (163702347072).

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

86727672768 is a wasteful number, since it uses less digits than its factorization.

86727672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16826 (or 16816 counting only the distinct ones).

The product of its digits is 132765696, while the sum is 66.

The spelling of 86727672768 in words is "eighty-six billion, seven hundred twenty-seven million, six hundred seventy-two thousand, seven hundred sixty-eight".