86669134272 has 336 divisors, whose sum is σ = 298598856192. Its totient is φ = 24411663360.

The previous prime is 86669134247. The next prime is 86669134289. The reversal of 86669134272 is 27243196668.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7723738 + ... + 7734950.

It is an arithmetic number, because the mean of its divisors is an integer number (888687072).

Almost surely, 2^86669134272 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 86669134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299428096).

86669134272 is an abundant number, since it is smaller than the sum of its proper divisors (211929721920).

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

86669134272 is a wasteful number, since it uses less digits than its factorization.

86669134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11296 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 86669134272 in words is "eighty-six billion, six hundred sixty-nine million, one hundred thirty-four thousand, two hundred seventy-two".