86133360080000 has 320 divisors, whose sum is σ = 227107989523800. Its totient is φ = 32416505856000.

The previous prime is 86133360079951. The next prime is 86133360080003. The reversal of 86133360080000 is 8006333168.

It can be written as a sum of positive squares in 20 ways, for example, as 2139947676736 + 83993412403264 = 1462856^2 + 9164792^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (86133360080003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5425032062 + ... + 5425047938.

Almost surely, 2^{86133360080000} is an apocalyptic number.

86133360080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86133360080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113553994761900).

86133360080000 is an abundant number, since it is smaller than the sum of its proper divisors (140974629443800).

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

86133360080000 is a wasteful number, since it uses less digits than its factorization.

86133360080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19917 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 86133360080000 in words is "eighty-six trillion, one hundred thirty-three billion, three hundred sixty million, eighty thousand".