216893445120 has 704 divisors, whose sum is σ = 885247257600. Its totient is φ = 49806213120.

The previous prime is 216893445053. The next prime is 216893445137. The reversal of 216893445120 is 21544398612.

216893445120 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 93 + 44 + 512 + 0 = 666.

216893445120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28888407 + ... + 28895913.

Almost surely, 2^216893445120 is an apocalyptic number.

216893445120 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 216893445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442623628800).

216893445120 is an abundant number, since it is smaller than the sum of its proper divisors (668353812480).

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

216893445120 is a wasteful number, since it uses less digits than its factorization.

216893445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 216893445120 in words is "two hundred sixteen billion, eight hundred ninety-three million, four hundred forty-five thousand, one hundred twenty".