86216711761268 has 48 divisors (see below), whose sum is σ = 165783118502400. Its totient is φ = 38906963388000.

The previous prime is 86216711761259. The next prime is 86216711761289.

86216711761268 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86216711761268.

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, 7469255 + ... + 15107057.

It is an arithmetic number, because the mean of its divisors is an integer number (3453814968800).

Almost surely, 2^{86216711761268} is an apocalyptic number.

It is an amenable number.

86216711761268 is a deficient number, since it is larger than the sum of its proper divisors (79566406741132).

86216711761268 is a wasteful number, since it uses less digits than its factorization.

86216711761268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639668 (or 7639666 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 62.

The spelling of 86216711761268 in words is "eighty-six trillion, two hundred sixteen billion, seven hundred eleven million, seven hundred sixty-one thousand, two hundred sixty-eight".