216555636960 has 576 divisors, whose sum is σ = 848977863552. Its totient is φ = 49794121728.

The previous prime is 216555636901. The next prime is 216555636991. The reversal of 216555636960 is 69636555612.

216555636960 is a `hidden beast` number, since 2 + 16 + 5 + 5 + 563 + 6 + 9 + 60 = 666.

It is a super-3 number, since 3×216555636960³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216555636897 and 216555636906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43596397 + ... + 43601363.

It is an arithmetic number, because the mean of its divisors is an integer number (1473919902).

Almost surely, 2^216555636960 is an apocalyptic number.

216555636960 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 216555636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424488931776).

216555636960 is an abundant number, since it is smaller than the sum of its proper divisors (632422226592).

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

216555636960 is a wasteful number, since it uses less digits than its factorization.

216555636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 216555636960 in words is "two hundred sixteen billion, five hundred fifty-five million, six hundred thirty-six thousand, nine hundred sixty".