216628594560 has 1024 divisors, whose sum is σ = 911635200000. Its totient is φ = 47584641024.

The previous prime is 216628594541. The next prime is 216628594607. The reversal of 216628594560 is 65495826612.

216628594560 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 28 + 59 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 216628594497 and 216628594506.

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, 434125191 + ... + 434125689.

It is an arithmetic number, because the mean of its divisors is an integer number (890268750).

Almost surely, 2^216628594560 is an apocalyptic number.

216628594560 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 216628594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455817600000).

216628594560 is an abundant number, since it is smaller than the sum of its proper divisors (695006605440).

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

216628594560 is a wasteful number, since it uses less digits than its factorization.

216628594560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 216628594560 in words is "two hundred sixteen billion, six hundred twenty-eight million, five hundred ninety-four thousand, five hundred sixty".