216290580169664 has 896 divisors, whose sum is σ = 599493397708800. Its totient is φ = 74693593497600.

The previous prime is 216290580169583. The next prime is 216290580169861. The reversal of 216290580169664 is 466961085092612.

It is a self number, because there is not a number n which added to its sum of digits gives 216290580169664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243845073029 + ... + 243845073915.

It is an arithmetic number, because the mean of its divisors is an integer number (669077452800).

Almost surely, 2^{216290580169664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216290580169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299746698854400).

216290580169664 is an abundant number, since it is smaller than the sum of its proper divisors (383202817539136).

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

216290580169664 is a wasteful number, since it uses less digits than its factorization.

216290580169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 65.

The spelling of 216290580169664 in words is "two hundred sixteen trillion, two hundred ninety billion, five hundred eighty million, one hundred sixty-nine thousand, six hundred sixty-four".