320006160216 has 160 divisors (see below), whose sum is σ = 913890978000. Its totient is φ = 104586349824.

The previous prime is 320006160197. The next prime is 320006160223. The reversal of 320006160216 is 612061600023.

320006160216 is a `hidden beast` number, since 3 + 20 + 0 + 0 + 616 + 0 + 21 + 6 = 666.

It is a super-2 number, since 2×320006160216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 320006160216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14861490 + ... + 14883006.

Almost surely, 2^320006160216 is an apocalyptic number.

320006160216 is a gapful number since it is divisible by the number (36) 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 320006160216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456945489000).

320006160216 is an abundant number, since it is smaller than the sum of its proper divisors (593884817784).

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

320006160216 is a wasteful number, since it uses less digits than its factorization.

320006160216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21983 (or 21970 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 320006160216 its reverse (612061600023), we get a palindrome (932067760239).

The spelling of 320006160216 in words is "three hundred twenty billion, six million, one hundred sixty thousand, two hundred sixteen".