217541256960 has 432 divisors, whose sum is σ = 765257117184. Its totient is φ = 52560617472.

The previous prime is 217541256953. The next prime is 217541256967. The reversal of 217541256960 is 69652145712.

It is an interprime number because it is at equal distance from previous prime (217541256953) and next prime (217541256967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217541256967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31880109 + ... + 31886931.

It is an arithmetic number, because the mean of its divisors is an integer number (1771428512).

Almost surely, 2^217541256960 is an apocalyptic number.

217541256960 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 217541256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382628558592).

217541256960 is an abundant number, since it is smaller than the sum of its proper divisors (547715860224).

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

217541256960 is a wasteful number, since it uses less digits than its factorization.

217541256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 217541256960 in words is "two hundred seventeen billion, five hundred forty-one million, two hundred fifty-six thousand, nine hundred sixty".