217093960512 has 588 divisors, whose sum is σ = 763291705824. Its totient is φ = 60701322240.

The previous prime is 217093960471. The next prime is 217093960529. The reversal of 217093960512 is 215069390712.

It is a happy number.

217093960512 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 9 + 39 + 605 + 1 + 2 = 666.

217093960512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86732253 + ... + 86734755.

Almost surely, 2^217093960512 is an apocalyptic number.

217093960512 is a gapful number since it is divisible by the number (22) 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 217093960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381645852912).

217093960512 is an abundant number, since it is smaller than the sum of its proper divisors (546197745312).

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

217093960512 is a wasteful number, since it uses less digits than its factorization.

217093960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 217093960512 in words is "two hundred seventeen billion, ninety-three million, nine hundred sixty thousand, five hundred twelve".