86726611662768 has 960 divisors, whose sum is σ = 308770381430784. Its totient is φ = 22072647168000.

The previous prime is 86726611662751. The next prime is 86726611662787.

86726611662768 is a `hidden beast` number, since 86 + 7 + 266 + 1 + 16 + 6 + 276 + 8 = 666.

86726611662768 is nontrivially palindromic in base 10.

86726611662768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 86726611662696 and 86726611662705.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91580370871 + ... + 91580371817.

Almost surely, 2^{86726611662768} is an apocalyptic number.

86726611662768 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 86726611662768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154385190715392).

86726611662768 is an abundant number, since it is smaller than the sum of its proper divisors (222043769768016).

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

86726611662768 is a wasteful number, since it uses less digits than its factorization.

86726611662768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 86726611662768 in words is "eighty-six trillion, seven hundred twenty-six billion, six hundred eleven million, six hundred sixty-two thousand, seven hundred sixty-eight".