86253317537664 has 128 divisors (see below), whose sum is σ = 251654416646400. Its totient is φ = 26053633622016.

The previous prime is 86253317537581. The next prime is 86253317537719. The reversal of 86253317537664 is 46673571335268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 86253317537595 and 86253317537604.

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 15 ways as a sum of consecutive naturals, for example, 256832209 + ... + 257167824.

It is an arithmetic number, because the mean of its divisors is an integer number (1966050130050).

Almost surely, 2^{86253317537664} is an apocalyptic number.

It is an amenable number.

86253317537664 is an abundant number, since it is smaller than the sum of its proper divisors (165401099108736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86253317537664 is a wasteful number, since it uses less digits than its factorization.

86253317537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514000092 (or 514000080 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 66.

The spelling of 86253317537664 in words is "eighty-six trillion, two hundred fifty-three billion, three hundred seventeen million, five hundred thirty-seven thousand, six hundred sixty-four".