211004004041160 has 64 divisors (see below), whose sum is σ = 690558558684480. Its totient is φ = 51152485827840.

The previous prime is 211004004041113. The next prime is 211004004041167. The reversal of 211004004041160 is 61140400400112.

It is a super-2 number, since 2×211004004041160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211004004041160.

It is not an unprimeable number, because it can be changed into a prime (211004004041167) 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 15 ways as a sum of consecutive naturals, for example, 79925757787 + ... + 79925760426.

It is an arithmetic number, because the mean of its divisors is an integer number (10789977479445).

Almost surely, 2^{211004004041160} is an apocalyptic number.

211004004041160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211004004041160 is an abundant number, since it is smaller than the sum of its proper divisors (479554554643320).

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

211004004041160 is a wasteful number, since it uses less digits than its factorization.

211004004041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159851518238 (or 159851518234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211004004041160 its reverse (61140400400112), we get a palindrome (272144404441272).

The spelling of 211004004041160 in words is "two hundred eleven trillion, four billion, four million, forty-one thousand, one hundred sixty".