217115640000 has 840 divisors, whose sum is σ = 921953480448. Its totient is φ = 49610880000.

The previous prime is 217115639987. The next prime is 217115640011. The reversal of 217115640000 is 46511712.

It is a happy number.

217115640000 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 15 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×217115640000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68038405 + ... + 68041595.

Almost surely, 2^217115640000 is an apocalyptic number.

217115640000 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 217115640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460976740224).

217115640000 is an abundant number, since it is smaller than the sum of its proper divisors (704837840448).

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

217115640000 is an frugal number, since it uses more digits than its factorization.

217115640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 217115640000 in words is "two hundred seventeen billion, one hundred fifteen million, six hundred forty thousand".