216942385121280 has 6912 divisors, whose sum is σ = 1057516855799040. Its totient is φ = 42122153558016.

The previous prime is 216942385121243. The next prime is 216942385121303. The reversal of 216942385121280 is 82121583249612.

216942385121280 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 4 + 2 + 38 + 512 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2236519434192 + ... + 2236519434288.

It is an arithmetic number, because the mean of its divisors is an integer number (152997230295).

Almost surely, 2^{216942385121280} is an apocalyptic number.

216942385121280 is a gapful number since it is divisible by the number (20) 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 216942385121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528758427899520).

216942385121280 is an abundant number, since it is smaller than the sum of its proper divisors (840574470677760).

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

216942385121280 is a wasteful number, since it uses less digits than its factorization.

216942385121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 216942385121280 in words is "two hundred sixteen trillion, nine hundred forty-two billion, three hundred eighty-five million, one hundred twenty-one thousand, two hundred eighty".