217093968000 has 768 divisors, whose sum is σ = 959613258240. Its totient is φ = 45801676800.

The previous prime is 217093967971. The next prime is 217093968011. The reversal of 217093968000 is 869390712.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13095717 + ... + 13112283.

It is an arithmetic number, because the mean of its divisors is an integer number (1249496430).

Almost surely, 2^217093968000 is an apocalyptic number.

217093968000 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 217093968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479806629120).

217093968000 is an abundant number, since it is smaller than the sum of its proper divisors (742519290240).

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

217093968000 is a wasteful number, since it uses less digits than its factorization.

217093968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 217093968000 in words is "two hundred seventeen billion, ninety-three million, nine hundred sixty-eight thousand".