216934026332800 has 288 divisors, whose sum is σ = 660057754431420. Its totient is φ = 70002239569920.

The previous prime is 216934026332789. The next prime is 216934026332927. The reversal of 216934026332800 is 8233620439612.

It can be written as a sum of positive squares in 6 ways, for example, as 129676158351936 + 87257867980864 = 11387544^2 + 9341192^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38025807 + ... + 43357006.

Almost surely, 2^{216934026332800} is an apocalyptic number.

216934026332800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216934026332800 is an abundant number, since it is smaller than the sum of its proper divisors (443123728098620).

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

216934026332800 is a wasteful number, since it uses less digits than its factorization.

216934026332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81382868 (or 81382844 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

The spelling of 216934026332800 in words is "two hundred sixteen trillion, nine hundred thirty-four billion, twenty-six million, three hundred thirty-two thousand, eight hundred".