216027012846100 has 72 divisors (see below), whose sum is σ = 476537117434616. Its totient is φ = 84981104640000.

The previous prime is 216027012846061. The next prime is 216027012846103. The reversal of 216027012846100 is 1648210720612.

It can be written as a sum of positive squares in 12 ways, for example, as 131394041500176 + 84632971345924 = 11462724^2 + 9199618^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216027012846103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36801940 + ... + 42266260.

Almost surely, 2^{216027012846100} is an apocalyptic number.

216027012846100 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 216027012846100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238268558717308).

216027012846100 is an abundant number, since it is smaller than the sum of its proper divisors (260510104588516).

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

216027012846100 is a wasteful number, since it uses less digits than its factorization.

216027012846100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470877 (or 5470870 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 216027012846100 in words is "two hundred sixteen trillion, twenty-seven billion, twelve million, eight hundred forty-six thousand, one hundred".