216959204880 has 360 divisors, whose sum is σ = 843039375360. Its totient is φ = 49827571200.

The previous prime is 216959204867. The next prime is 216959204893. The reversal of 216959204880 is 88402959612.

It is a happy number.

216959204880 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 592 + 0 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216959204867) and next prime (216959204893).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1589745 + ... + 1720815.

Almost surely, 2^216959204880 is an apocalyptic number.

216959204880 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 216959204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421519687680).

216959204880 is an abundant number, since it is smaller than the sum of its proper divisors (626080170480).

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

216959204880 is a wasteful number, since it uses less digits than its factorization.

216959204880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131111 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 216959204880 in words is "two hundred sixteen billion, nine hundred fifty-nine million, two hundred four thousand, eight hundred eighty".