86301511264105 has 16 divisors (see below), whose sum is σ = 103605708355920. Its totient is φ = 69011948498688.

The previous prime is 86301511264093. The next prime is 86301511264123. The reversal of 86301511264105 is 50146211510368.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4819548450409 + 81481962813696 = 2195347^2 + 9026736^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86301511264105 is a prime.

It is a super-2 number, since 2×86301511264105² (a number of 29 digits) contains 22 as substring.

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, 272763979 + ... + 273080191.

It is an arithmetic number, because the mean of its divisors is an integer number (6475356772245).

Almost surely, 2^{86301511264105} is an apocalyptic number.

It is an amenable number.

86301511264105 is a deficient number, since it is larger than the sum of its proper divisors (17304197091815).

86301511264105 is a wasteful number, since it uses less digits than its factorization.

86301511264105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339180.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 86301511264105 in words is "eighty-six trillion, three hundred one billion, five hundred eleven million, two hundred sixty-four thousand, one hundred five".