217130081760 has 384 divisors, whose sum is σ = 808968384000. Its totient is φ = 54235754496.

The previous prime is 217130081717. The next prime is 217130081783. The reversal of 217130081760 is 67180031712.

217130081760 is a `hidden beast` number, since 217 + 1 + 300 + 81 + 7 + 60 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7290259 + ... + 7319981.

It is an arithmetic number, because the mean of its divisors is an integer number (2106688500).

Almost surely, 2^217130081760 is an apocalyptic number.

217130081760 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 217130081760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404484192000).

217130081760 is an abundant number, since it is smaller than the sum of its proper divisors (591838302240).

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

217130081760 is a wasteful number, since it uses less digits than its factorization.

217130081760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29855 (or 29841 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 217130081760 in words is "two hundred seventeen billion, one hundred thirty million, eighty-one thousand, seven hundred sixty".