214520104200 has 192 divisors, whose sum is σ = 710463456000. Its totient is φ = 53385488640.

The previous prime is 214520104199. The next prime is 214520104213. The reversal of 214520104200 is 2401025412.

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, 623371 + ... + 904229.

It is an arithmetic number, because the mean of its divisors is an integer number (3700330500).

Almost surely, 2^214520104200 is an apocalyptic number.

214520104200 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 214520104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355231728000).

214520104200 is an abundant number, since it is smaller than the sum of its proper divisors (495943351800).

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

214520104200 is a wasteful number, since it uses less digits than its factorization.

214520104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280964 (or 280955 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 214520104200 its reverse (2401025412), we get a palindrome (216921129612).

The spelling of 214520104200 in words is "two hundred fourteen billion, five hundred twenty million, one hundred four thousand, two hundred".