86573764457808 has 160 divisors (see below), whose sum is σ = 240684435210240. Its totient is φ = 26728953361920.

The previous prime is 86573764457797. The next prime is 86573764457837. The reversal of 86573764457808 is 80875446737568.

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 31 ways as a sum of consecutive naturals, for example, 39261841 + ... + 41408207.

It is an arithmetic number, because the mean of its divisors is an integer number (1504277720064).

Almost surely, 2^{86573764457808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86573764457808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120342217605120).

86573764457808 is an abundant number, since it is smaller than the sum of its proper divisors (154110670752432).

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

86573764457808 is a wasteful number, since it uses less digits than its factorization.

86573764457808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147385 (or 2147379 counting only the distinct ones).

The product of its (nonzero) digits is 7586611200, while the sum is 78.

The spelling of 86573764457808 in words is "eighty-six trillion, five hundred seventy-three billion, seven hundred sixty-four million, four hundred fifty-seven thousand, eight hundred eight".