213283944160200 has 288 divisors, whose sum is σ = 717053450880000. Its totient is φ = 56814210984960.

The previous prime is 213283944160193. The next prime is 213283944160211. The reversal of 213283944160200 is 2061449382312.

213283944160200 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 8 + 39 + 4 + 4 + 1 + 602 + 0 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19181930241 + ... + 19181941359.

Almost surely, 2^{213283944160200} is an apocalyptic number.

213283944160200 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 213283944160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358526725440000).

213283944160200 is an abundant number, since it is smaller than the sum of its proper divisors (503769506719800).

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

213283944160200 is a wasteful number, since it uses less digits than its factorization.

213283944160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21709 (or 21697 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 213283944160200 in words is "two hundred thirteen trillion, two hundred eighty-three billion, nine hundred forty-four million, one hundred sixty thousand, two hundred".