216193863600 has 2160 divisors, whose sum is σ = 1000383471360. Its totient is φ = 42425856000.

The previous prime is 216193863533. The next prime is 216193863629. The reversal of 216193863600 is 6368391612.

216193863600 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 9 + 3 + 8 + 636 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 6973995585 + ... + 6973995615.

It is an arithmetic number, because the mean of its divisors is an integer number (463140496).

Almost surely, 2^216193863600 is an apocalyptic number.

216193863600 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 216193863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500191735680).

216193863600 is an abundant number, since it is smaller than the sum of its proper divisors (784189607760).

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

216193863600 is a wasteful number, since it uses less digits than its factorization.

216193863600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 216193863600 in words is "two hundred sixteen billion, one hundred ninety-three million, eight hundred sixty-three thousand, six hundred".