211038438752130 has 192 divisors, whose sum is σ = 557483980120704. Its totient is φ = 51090926515200.

The previous prime is 211038438752107. The next prime is 211038438752137. The reversal of 211038438752130 is 31257834830112.

It is a self number, because there is not a number n which added to its sum of digits gives 211038438752130.

It is not an unprimeable number, because it can be changed into a prime (211038438752137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14839908420 + ... + 14839922640.

It is an arithmetic number, because the mean of its divisors is an integer number (2903562396462).

Almost surely, 2^{211038438752130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211038438752130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278741990060352).

211038438752130 is an abundant number, since it is smaller than the sum of its proper divisors (346445541368574).

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

211038438752130 is a wasteful number, since it uses less digits than its factorization.

211038438752130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19553 (or 19542 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 211038438752130 in words is "two hundred eleven trillion, thirty-eight billion, four hundred thirty-eight million, seven hundred fifty-two thousand, one hundred thirty".