216011681280 has 560 divisors, whose sum is σ = 781176630960. Its totient is φ = 57259229184.

The previous prime is 216011681257. The next prime is 216011681309. The reversal of 216011681280 is 82186110612.

216011681280 is a `hidden beast` number, since 21 + 601 + 1 + 6 + 8 + 1 + 28 + 0 = 666.

It is a super-2 number, since 2×216011681280² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 528145716 + ... + 528146124.

Almost surely, 2^216011681280 is an apocalyptic number.

216011681280 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 216011681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390588315480).

216011681280 is an abundant number, since it is smaller than the sum of its proper divisors (565164949680).

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

216011681280 is an frugal number, since it uses more digits than its factorization.

216011681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 216011681280 its reverse (82186110612), we get a palindrome (298197791892).

The spelling of 216011681280 in words is "two hundred sixteen billion, eleven million, six hundred eighty-one thousand, two hundred eighty".