213931761200 has 120 divisors (see below), whose sum is σ = 526577136192. Its totient is φ = 83485480960.

The previous prime is 213931761193. The next prime is 213931761221. The reversal of 213931761200 is 2167139312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5941652 + ... + 5977548.

Almost surely, 2^213931761200 is an apocalyptic number.

213931761200 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 213931761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263288568096).

213931761200 is an abundant number, since it is smaller than the sum of its proper divisors (312645374992).

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

213931761200 is a wasteful number, since it uses less digits than its factorization.

213931761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36279 (or 36268 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 213931761200 in words is "two hundred thirteen billion, nine hundred thirty-one million, seven hundred sixty-one thousand, two hundred".