216886028736 has 224 divisors, whose sum is σ = 651163340800. Its totient is φ = 63158538240.

The previous prime is 216886028693. The next prime is 216886028759. The reversal of 216886028736 is 637820688612.

It is a happy number.

216886028736 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 Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 69759150 + ... + 69762258.

It is an arithmetic number, because the mean of its divisors is an integer number (2906979200).

Almost surely, 2^216886028736 is an apocalyptic number.

216886028736 is a gapful number since it is divisible by the number (26) 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 216886028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325581670400).

216886028736 is an abundant number, since it is smaller than the sum of its proper divisors (434277312064).

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

216886028736 is a wasteful number, since it uses less digits than its factorization.

216886028736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 216886028736 in words is "two hundred sixteen billion, eight hundred eighty-six million, twenty-eight thousand, seven hundred thirty-six".