210229364800 has 672 divisors, whose sum is σ = 659652224000. Its totient is φ = 65515806720.

The previous prime is 210229364797. The next prime is 210229364837. The reversal of 210229364800 is 8463922012.

It is a happy number.

It is a super-2 number, since 2×210229364800² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210229364800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563617414 + ... + 563617786.

Almost surely, 2^210229364800 is an apocalyptic number.

210229364800 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 210229364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329826112000).

210229364800 is an abundant number, since it is smaller than the sum of its proper divisors (449422859200).

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

210229364800 is a wasteful number, since it uses less digits than its factorization.

210229364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 210229364800 in words is "two hundred ten billion, two hundred twenty-nine million, three hundred sixty-four thousand, eight hundred".