216191839503360 has 2112 divisors, whose sum is σ = 845864847346176. Its totient is φ = 46129710366720.

The previous prime is 216191839503359. The next prime is 216191839503371. The reversal of 216191839503360 is 63305938191612.

It is a super-2 number, since 2×216191839503360² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216191839503360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 737856107374 + ... + 737856107666.

Almost surely, 2^{216191839503360} is an apocalyptic number.

216191839503360 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 216191839503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422932423673088).

216191839503360 is an abundant number, since it is smaller than the sum of its proper divisors (629673007842816).

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

216191839503360 is a wasteful number, since it uses less digits than its factorization.

216191839503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 216191839503360 in words is "two hundred sixteen trillion, one hundred ninety-one billion, eight hundred thirty-nine million, five hundred three thousand, three hundred sixty".