213765641000 has 128 divisors (see below), whose sum is σ = 518967540000. Its totient is φ = 82317312000.

The previous prime is 213765640997. The next prime is 213765641017. The reversal of 213765641000 is 146567312.

It can be written as a sum of positive squares in 16 ways, for example, as 378925156 + 213386715844 = 19466^2 + 461938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10110440 + ... + 10131560.

Almost surely, 2^213765641000 is an apocalyptic number.

213765641000 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 213765641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259483770000).

213765641000 is an abundant number, since it is smaller than the sum of its proper divisors (305201899000).

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

213765641000 is a wasteful number, since it uses less digits than its factorization.

213765641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21520 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 213765641000 in words is "two hundred thirteen billion, seven hundred sixty-five million, six hundred forty-one thousand".