210442135200 has 432 divisors, whose sum is σ = 754735006368. Its totient is φ = 50893568000.

The previous prime is 210442135199. The next prime is 210442135213. The reversal of 210442135200 is 2531244012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 198342670 + ... + 198343730.

It is an arithmetic number, because the mean of its divisors is an integer number (1747071774).

Almost surely, 2^210442135200 is an apocalyptic number.

210442135200 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 210442135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377367503184).

210442135200 is an abundant number, since it is smaller than the sum of its proper divisors (544292871168).

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

210442135200 is a wasteful number, since it uses less digits than its factorization.

210442135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 210442135200 its reverse (2531244012), we get a palindrome (212973379212).

The spelling of 210442135200 in words is "two hundred ten billion, four hundred forty-two million, one hundred thirty-five thousand, two hundred".