217072215360 has 1792 divisors, whose sum is σ = 1083117772800. Its totient is φ = 39414988800.

The previous prime is 217072215329. The next prime is 217072215391. The reversal of 217072215360 is 63512270712.

217072215360 is a `hidden beast` number, since 2 + 1 + 70 + 7 + 221 + 5 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (217072215329) and next prime (217072215391).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 164323500 + ... + 164324820.

It is an arithmetic number, because the mean of its divisors is an integer number (604418400).

Almost surely, 2^217072215360 is an apocalyptic number.

217072215360 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 217072215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541558886400).

217072215360 is an abundant number, since it is smaller than the sum of its proper divisors (866045557440).

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

217072215360 is a wasteful number, since it uses less digits than its factorization.

217072215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 217072215360 in words is "two hundred seventeen billion, seventy-two million, two hundred fifteen thousand, three hundred sixty".