212191815089280 has 1024 divisors, whose sum is σ = 775017351521280. Its totient is φ = 48918964469760.

The previous prime is 212191815089257. The next prime is 212191815089291. The reversal of 212191815089280 is 82980518191212.

It is a self number, because there is not a number n which added to its sum of digits gives 212191815089280.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91818179325 + ... + 91818181635.

It is an arithmetic number, because the mean of its divisors is an integer number (756852882345).

Almost surely, 2^{212191815089280} is an apocalyptic number.

212191815089280 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 212191815089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387508675760640).

212191815089280 is an abundant number, since it is smaller than the sum of its proper divisors (562825536432000).

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

212191815089280 is a wasteful number, since it uses less digits than its factorization.

212191815089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 57.

The spelling of 212191815089280 in words is "two hundred twelve trillion, one hundred ninety-one billion, eight hundred fifteen million, eighty-nine thousand, two hundred eighty".