86251335328557 has 12 divisors (see below), whose sum is σ = 142383156732960. Its totient is φ = 49286477330568.

The previous prime is 86251335328537. The next prime is 86251335328589. The reversal of 86251335328557 is 75582353315268.

86251335328557 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 1 + 3 + 3 + 53 + 28 + 557 = 666.

It is not a de Polignac number, because 86251335328557 - 2²² = 86251331134253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 1369068814739 = 86251335328557 / (8 + 6 + 2 + 5 + 1 + 3 + 3 + 5 + 3 + 2 + 8 + 5 + 5 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 86251335328494 and 86251335328503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86251335328537) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 684534407307 + ... + 684534407432.

It is an arithmetic number, because the mean of its divisors is an integer number (11865263061080).

Almost surely, 2^{86251335328557} is an apocalyptic number.

It is an amenable number.

86251335328557 is a deficient number, since it is larger than the sum of its proper divisors (56131821404403).

86251335328557 is a wasteful number, since it uses less digits than its factorization.

86251335328557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369068814752 (or 1369068814749 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 86251335328557 in words is "eighty-six trillion, two hundred fifty-one billion, three hundred thirty-five million, three hundred twenty-eight thousand, five hundred fifty-seven".