213616803124800 has 504 divisors, whose sum is σ = 770829446558496. Its totient is φ = 56095850004480.

The previous prime is 213616803124783. The next prime is 213616803124847. The reversal of 213616803124800 is 8421308616312.

213616803124800 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 168 + 0 + 3 + 1 + 2 + 480 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3074782864 + ... + 3074852336.

Almost surely, 2^{213616803124800} is an apocalyptic number.

213616803124800 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 213616803124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385414723279248).

213616803124800 is an abundant number, since it is smaller than the sum of its proper divisors (557212643433696).

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

213616803124800 is a wasteful number, since it uses less digits than its factorization.

213616803124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72755 (or 72737 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 213616803124800 in words is "two hundred thirteen trillion, six hundred sixteen billion, eight hundred three million, one hundred twenty-four thousand, eight hundred".