217796660480 has 288 divisors, whose sum is σ = 603182764800. Its totient is φ = 73807036416.

The previous prime is 217796660461. The next prime is 217796660513. The reversal of 217796660480 is 84066697712.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367279064 + ... + 367279656.

It is an arithmetic number, because the mean of its divisors is an integer number (2094384600).

Almost surely, 2^217796660480 is an apocalyptic number.

217796660480 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 217796660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301591382400).

217796660480 is an abundant number, since it is smaller than the sum of its proper divisors (385386104320).

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

217796660480 is a wasteful number, since it uses less digits than its factorization.

217796660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The spelling of 217796660480 in words is "two hundred seventeen billion, seven hundred ninety-six million, six hundred sixty thousand, four hundred eighty".