216382844782720 has 256 divisors, whose sum is σ = 653097008332800. Its totient is φ = 66590280806400.

The previous prime is 216382844782697. The next prime is 216382844782747. The reversal of 216382844782720 is 27287448283612.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23897296 + ... + 31683535.

It is an arithmetic number, because the mean of its divisors is an integer number (2551160188800).

Almost surely, 2^{216382844782720} is an apocalyptic number.

216382844782720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216382844782720 is an abundant number, since it is smaller than the sum of its proper divisors (436714163550080).

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

216382844782720 is a wasteful number, since it uses less digits than its factorization.

216382844782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55580947 (or 55580935 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 64.

The spelling of 216382844782720 in words is "two hundred sixteen trillion, three hundred eighty-two billion, eight hundred forty-four million, seven hundred eighty-two thousand, seven hundred twenty".