213866703820800 has 2880 divisors, whose sum is σ = 865543398239520. Its totient is φ = 51980009472000.

The previous prime is 213866703820799. The next prime is 213866703820801. The reversal of 213866703820800 is 8028307668312.

213866703820800 is a `hidden beast` number, since 2 + 138 + 66 + 70 + 382 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213866703820799) and next prime (213866703820801).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213866703820801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 696634214247 + ... + 696634214553.

Almost surely, 2^{213866703820800} is an apocalyptic number.

213866703820800 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 213866703820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432771699119760).

213866703820800 is an abundant number, since it is smaller than the sum of its proper divisors (651676694418720).

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

213866703820800 is a wasteful number, since it uses less digits than its factorization.

213866703820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 213866703820800 in words is "two hundred thirteen trillion, eight hundred sixty-six billion, seven hundred three million, eight hundred twenty thousand, eight hundred".