217000516640 has 24 divisors (see below), whose sum is σ = 512663720940. Its totient is φ = 86800206592.

The previous prime is 217000516609. The next prime is 217000516693. The reversal of 217000516640 is 46615000712.

It can be written as a sum of positive squares in 2 ways, for example, as 214936086544 + 2064430096 = 463612^2 + 45436^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 217000516597 and 217000516606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 678126455 + ... + 678126774.

Almost surely, 2^217000516640 is an apocalyptic number.

217000516640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217000516640 is an abundant number, since it is smaller than the sum of its proper divisors (295663204300).

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

217000516640 is a wasteful number, since it uses less digits than its factorization.

217000516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356253244 (or 1356253236 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 217000516640 in words is "two hundred seventeen billion, five hundred sixteen thousand, six hundred forty".