86007071771415 has 64 divisors (see below), whose sum is σ = 160216922419200. Its totient is φ = 43692489130752.

The previous prime is 86007071771407. The next prime is 86007071771429. The reversal of 86007071771415 is 51417717070068.

86007071771415 is a `hidden beast` number, since 8 + 600 + 7 + 0 + 7 + 1 + 7 + 7 + 14 + 15 = 666.

It is not a de Polignac number, because 86007071771415 - 2³ = 86007071771407 is a prime.

It is a super-2 number, since 2×86007071771415² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57206734 + ... + 58690923.

It is an arithmetic number, because the mean of its divisors is an integer number (2503389412800).

Almost surely, 2^{86007071771415} is an apocalyptic number.

86007071771415 is a deficient number, since it is larger than the sum of its proper divisors (74209850647785).

86007071771415 is a wasteful number, since it uses less digits than its factorization.

86007071771415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115897933 (or 115897927 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 54.

The spelling of 86007071771415 in words is "eighty-six trillion, seven billion, seventy-one million, seven hundred seventy-one thousand, four hundred fifteen".