213194297600 has 108 divisors (see below), whose sum is σ = 532360819956. Its totient is φ = 84522762240.

The previous prime is 213194297579. The next prime is 213194297669. The reversal of 213194297600 is 6792491312.

213194297600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 58185158656 + 155009138944 = 241216^2 + 393712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575804 + ... + 870596.

Almost surely, 2^213194297600 is an apocalyptic number.

213194297600 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 213194297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266180409978).

213194297600 is an abundant number, since it is smaller than the sum of its proper divisors (319166522356).

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

213194297600 is a wasteful number, since it uses less digits than its factorization.

213194297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294932 (or 294913 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 213194297600 in words is "two hundred thirteen billion, one hundred ninety-four million, two hundred ninety-seven thousand, six hundred".