86541657658327 has 16 divisors (see below), whose sum is σ = 89442585840960. Its totient is φ = 83702953152000.

The previous prime is 86541657658321. The next prime is 86541657658333. The reversal of 86541657658327 is 72385675614568.

It is an interprime number because it is at equal distance from previous prime (86541657658321) and next prime (86541657658333).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86541657658327 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86541657658327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86541657658321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54577458 + ... + 56140735.

It is an arithmetic number, because the mean of its divisors is an integer number (5590161615060).

Almost surely, 2^{86541657658327} is an apocalyptic number.

86541657658327 is a deficient number, since it is larger than the sum of its proper divisors (2900928182633).

86541657658327 is a wasteful number, since it uses less digits than its factorization.

86541657658327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110718474.

The product of its digits is 2032128000, while the sum is 73.

The spelling of 86541657658327 in words is "eighty-six trillion, five hundred forty-one billion, six hundred fifty-seven million, six hundred fifty-eight thousand, three hundred twenty-seven".