213005079853200 has 1440 divisors, whose sum is σ = 858269701509120. Its totient is φ = 50046959001600.

The previous prime is 213005079853151. The next prime is 213005079853229. The reversal of 213005079853200 is 2358970500312.

213005079853200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 0 + 507 + 98 + 53 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3373985635 + ... + 3374048765.

It is an arithmetic number, because the mean of its divisors is an integer number (596020626048).

Almost surely, 2^{213005079853200} is an apocalyptic number.

213005079853200 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 213005079853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429134850754560).

213005079853200 is an abundant number, since it is smaller than the sum of its proper divisors (645264621655920).

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

213005079853200 is a wasteful number, since it uses less digits than its factorization.

213005079853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63262 (or 63228 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 213005079853200 in words is "two hundred thirteen trillion, five billion, seventy-nine million, eight hundred fifty-three thousand, two hundred".