216485876880 has 1600 divisors, whose sum is σ = 991957344000. Its totient is φ = 43272133632.

The previous prime is 216485876869. The next prime is 216485876903. The reversal of 216485876880 is 88678584612.

216485876880 is a `hidden beast` number, since 2 + 1 + 6 + 48 + 587 + 6 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×216485876880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11393993511 + ... + 11393993529.

It is an arithmetic number, because the mean of its divisors is an integer number (619973340).

Almost surely, 2^216485876880 is an apocalyptic number.

216485876880 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 216485876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495978672000).

216485876880 is an abundant number, since it is smaller than the sum of its proper divisors (775471467120).

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

216485876880 is an equidigital number, since it uses as much as digits as its factorization.

216485876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 216485876880 in words is "two hundred sixteen billion, four hundred eighty-five million, eight hundred seventy-six thousand, eight hundred eighty".