213081767910 has 320 divisors, whose sum is σ = 661964244480. Its totient is φ = 48637946880.

The previous prime is 213081767909. The next prime is 213081767917. The reversal of 213081767910 is 19767180312.

It is a super-2 number, since 2×213081767910² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213081767917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28267662 + ... + 28275198.

It is an arithmetic number, because the mean of its divisors is an integer number (2068638264).

Almost surely, 2^213081767910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213081767910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330982122240).

213081767910 is an abundant number, since it is smaller than the sum of its proper divisors (448882476570).

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

213081767910 is a wasteful number, since it uses less digits than its factorization.

213081767910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 213081767910 in words is "two hundred thirteen billion, eighty-one million, seven hundred sixty-seven thousand, nine hundred ten".