216726451200 has 1584 divisors, whose sum is σ = 949113657600. Its totient is φ = 48910417920.

The previous prime is 216726451199. The next prime is 216726451211. The reversal of 216726451200 is 2154627612.

It is a happy number.

216726451200 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 2 + 645 + 1 + 2 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2743372761 + ... + 2743372839.

Almost surely, 2^216726451200 is an apocalyptic number.

216726451200 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 216726451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474556828800).

216726451200 is an abundant number, since it is smaller than the sum of its proper divisors (732387206400).

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

216726451200 is an frugal number, since it uses more digits than its factorization.

216726451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 216726451200 in words is "two hundred sixteen billion, seven hundred twenty-six million, four hundred fifty-one thousand, two hundred".