216556464729600 has 840 divisors, whose sum is σ = 805457779679520. Its totient is φ = 57674997596160.

The previous prime is 216556464729571. The next prime is 216556464729643. The reversal of 216556464729600 is 6927464655612.

It is a happy number.

216556464729600 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 564 + 6 + 4 + 7 + 2 + 9 + 60 + 0 = 666.

216556464729600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216556464729600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7548926457 + ... + 7548955143.

Almost surely, 2^{216556464729600} is an apocalyptic number.

216556464729600 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 216556464729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402728889839760).

216556464729600 is an abundant number, since it is smaller than the sum of its proper divisors (588901314949920).

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

216556464729600 is an frugal number, since it uses more digits than its factorization.

216556464729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29542 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 216556464729600 in words is "two hundred sixteen trillion, five hundred fifty-six billion, four hundred sixty-four million, seven hundred twenty-nine thousand, six hundred".