216124704000 has 864 divisors, whose sum is σ = 815159872800. Its totient is φ = 54912614400.

The previous prime is 216124703987. The next prime is 216124704041. The reversal of 216124704000 is 407421612.

216124704000 is a `hidden beast` number, since 2 + 1 + 612 + 4 + 7 + 0 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 162996297984 + 53128406016 = 403728^2 + 230496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 943775886 + ... + 943776114.

It is an arithmetic number, because the mean of its divisors is an integer number (943472075).

Almost surely, 2^216124704000 is an apocalyptic number.

216124704000 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 216124704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407579936400).

216124704000 is an abundant number, since it is smaller than the sum of its proper divisors (599035168800).

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

216124704000 is a wasteful number, since it uses less digits than its factorization.

216124704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 216124704000 in words is "two hundred sixteen billion, one hundred twenty-four million, seven hundred four thousand".