211013116764450 has 1152 divisors, whose sum is σ = 740404596787200. Its totient is φ = 39379490841600.

The previous prime is 211013116764431. The next prime is 211013116764469. The reversal of 211013116764450 is 54467611310112.

It is an interprime number because it is at equal distance from previous prime (211013116764431) and next prime (211013116764469).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3538855537 + ... + 3538915163.

It is an arithmetic number, because the mean of its divisors is an integer number (642712323600).

Almost surely, 2^{211013116764450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211013116764450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370202298393600).

211013116764450 is an abundant number, since it is smaller than the sum of its proper divisors (529391480022750).

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

211013116764450 is a wasteful number, since it uses less digits than its factorization.

211013116764450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59737 (or 59705 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 211013116764450 in words is "two hundred eleven trillion, thirteen billion, one hundred sixteen million, seven hundred sixty-four thousand, four hundred fifty".