213050994000 has 640 divisors, whose sum is σ = 773905466880. Its totient is φ = 50061312000.

The previous prime is 213050993959. The next prime is 213050994011. The reversal of 213050994000 is 499050312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219413515 + ... + 219414485.

It is an arithmetic number, because the mean of its divisors is an integer number (1209227292).

Almost surely, 2^213050994000 is an apocalyptic number.

213050994000 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 213050994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386952733440).

213050994000 is an abundant number, since it is smaller than the sum of its proper divisors (560854472880).

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

213050994000 is a wasteful number, since it uses less digits than its factorization.

213050994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 213050994000 in words is "two hundred thirteen billion, fifty million, nine hundred ninety-four thousand".