212013910080 has 560 divisors, whose sum is σ = 865164558720. Its totient is φ = 48277389312.

The previous prime is 212013910051. The next prime is 212013910081. The reversal of 212013910080 is 80019310212.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212013910081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51345456 + ... + 51349584.

It is an arithmetic number, because the mean of its divisors is an integer number (1544936712).

Almost surely, 2^212013910080 is an apocalyptic number.

212013910080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432582279360).

212013910080 is an abundant number, since it is smaller than the sum of its proper divisors (653150648640).

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

212013910080 is a wasteful number, since it uses less digits than its factorization.

212013910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 212013910080 in words is "two hundred twelve billion, thirteen million, nine hundred ten thousand, eighty".