213308861875200 has 7392 divisors, whose sum is σ = 1050005584674816. Its totient is φ = 41716824145920.

The previous prime is 213308861875171. The next prime is 213308861875229. The reversal of 213308861875200 is 2578168803312.

213308861875200 is a `hidden beast` number, since 2 + 1 + 3 + 30 + 8 + 8 + 6 + 1 + 87 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213308861875171) and next prime (213308861875229).

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1679597337537 + ... + 1679597337663.

It is an arithmetic number, because the mean of its divisors is an integer number (142046210048).

Almost surely, 2^{213308861875200} is an apocalyptic number.

213308861875200 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 213308861875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525002792337408).

213308861875200 is an abundant number, since it is smaller than the sum of its proper divisors (836696722799616).

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

213308861875200 is a wasteful number, since it uses less digits than its factorization.

213308861875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 213308861875200 in words is "two hundred thirteen trillion, three hundred eight billion, eight hundred sixty-one million, eight hundred seventy-five thousand, two hundred".