211160460736512 has 720 divisors, whose sum is σ = 776854256658480. Its totient is φ = 56782607745024.

The previous prime is 211160460736501. The next prime is 211160460736517. The reversal of 211160460736512 is 215637064061112.

It is a happy number.

211160460736512 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 0 + 4 + 60 + 73 + 6 + 512 = 666.

It is a super-2 number, since 2×211160460736512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211160460736517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137420653 + ... + 138948755.

It is an arithmetic number, because the mean of its divisors is an integer number (1078964245359).

Almost surely, 2^{211160460736512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211160460736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388427128329240).

211160460736512 is an abundant number, since it is smaller than the sum of its proper divisors (565693795921968).

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

211160460736512 is a wasteful number, since it uses less digits than its factorization.

211160460736512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528168 (or 1528132 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 211160460736512 in words is "two hundred eleven trillion, one hundred sixty billion, four hundred sixty million, seven hundred thirty-six thousand, five hundred twelve".