216966772180320 has 48 divisors (see below), whose sum is σ = 683445332369520. Its totient is φ = 57857805914624.

The previous prime is 216966772180307. The next prime is 216966772180321. The reversal of 216966772180320 is 23081277669612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216966772180321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226007053875 + ... + 226007054834.

It is an arithmetic number, because the mean of its divisors is an integer number (14238444424365).

Almost surely, 2^{216966772180320} is an apocalyptic number.

216966772180320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216966772180320 is an abundant number, since it is smaller than the sum of its proper divisors (466478560189200).

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

216966772180320 is a wasteful number, since it uses less digits than its factorization.

216966772180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452014108727 (or 452014108719 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 216966772180320 in words is "two hundred sixteen trillion, nine hundred sixty-six billion, seven hundred seventy-two million, one hundred eighty thousand, three hundred twenty".