86664734352 has 800 divisors, whose sum is σ = 318804992000. Its totient is φ = 22632825600.

The previous prime is 86664734311. The next prime is 86664734389. The reversal of 86664734352 is 25343746668.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261826827 + ... + 261827157.

It is an arithmetic number, because the mean of its divisors is an integer number (398506240).

Almost surely, 2^86664734352 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 86664734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159402496000).

86664734352 is an abundant number, since it is smaller than the sum of its proper divisors (232140257648).

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

86664734352 is a wasteful number, since it uses less digits than its factorization.

86664734352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 86664734352 in words is "eighty-six billion, six hundred sixty-four million, seven hundred thirty-four thousand, three hundred fifty-two".