210872193400 has 192 divisors, whose sum is σ = 543475215360. Its totient is φ = 76082864000.

The previous prime is 210872193361. The next prime is 210872193437. The reversal of 210872193400 is 4391278012.

It is a self number, because there is not a number n which added to its sum of digits gives 210872193400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34869177 + ... + 34875223.

It is an arithmetic number, because the mean of its divisors is an integer number (2830600080).

Almost surely, 2^210872193400 is an apocalyptic number.

210872193400 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 210872193400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271737607680).

210872193400 is an abundant number, since it is smaller than the sum of its proper divisors (332603021960).

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

210872193400 is a wasteful number, since it uses less digits than its factorization.

210872193400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 210872193400 in words is "two hundred ten billion, eight hundred seventy-two million, one hundred ninety-three thousand, four hundred".