305969880216 has 960 divisors, whose sum is σ = 1137757501440. Its totient is φ = 66816921600.

The previous prime is 305969880193. The next prime is 305969880239. The reversal of 305969880216 is 612088969503.

It is an interprime number because it is at equal distance from previous prime (305969880193) and next prime (305969880239).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9869996121 + ... + 9869996151.

It is an arithmetic number, because the mean of its divisors is an integer number (1185164064).

Almost surely, 2^305969880216 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 305969880216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568878750720).

305969880216 is an abundant number, since it is smaller than the sum of its proper divisors (831787621224).

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

305969880216 is a wasteful number, since it uses less digits than its factorization.

305969880216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 305969880216 in words is "three hundred five billion, nine hundred sixty-nine million, eight hundred eighty thousand, two hundred sixteen".