216824102280 has 192 divisors, whose sum is σ = 739336965120. Its totient is φ = 55037145600.

The previous prime is 216824102239. The next prime is 216824102329. The reversal of 216824102280 is 82201428612.

216824102280 is a `hidden beast` number, since 2 + 16 + 8 + 2 + 410 + 228 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521509 + ... + 840011.

It is an arithmetic number, because the mean of its divisors is an integer number (3850713360).

Almost surely, 2^216824102280 is an apocalyptic number.

216824102280 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 216824102280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369668482560).

216824102280 is an abundant number, since it is smaller than the sum of its proper divisors (522512862840).

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

216824102280 is a wasteful number, since it uses less digits than its factorization.

216824102280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318612 (or 318605 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 216824102280 in words is "two hundred sixteen billion, eight hundred twenty-four million, one hundred two thousand, two hundred eighty".