86828083311 has 24 divisors (see below), whose sum is σ = 122886864000. Its totient is φ = 54430030864.

The previous prime is 86828083301. The next prime is 86828083343. The reversal of 86828083311 is 11338082868.

It is not a de Polignac number, because 86828083311 - 2³⁴ = 69648214127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86828083301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59440 + ... + 420938.

It is an arithmetic number, because the mean of its divisors is an integer number (5120286000).

Almost surely, 2^86828083311 is an apocalyptic number.

86828083311 is a deficient number, since it is larger than the sum of its proper divisors (36058780689).

86828083311 is a wasteful number, since it uses less digits than its factorization.

86828083311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361643 (or 361584 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 86828083311 in words is "eighty-six billion, eight hundred twenty-eight million, eighty-three thousand, three hundred eleven".