217639992000 has 448 divisors, whose sum is σ = 732860144640. Its totient is φ = 56899584000.

The previous prime is 217639991971. The next prime is 217639992061. The reversal of 217639992000 is 299936712.

It is a super-2 number, since 2×217639992000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574247811 + ... + 574248189.

Almost surely, 2^217639992000 is an apocalyptic number.

217639992000 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 217639992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366430072320).

217639992000 is an abundant number, since it is smaller than the sum of its proper divisors (515220152640).

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

217639992000 is a wasteful number, since it uses less digits than its factorization.

217639992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 217639992000 in words is "two hundred seventeen billion, six hundred thirty-nine million, nine hundred ninety-two thousand".