216805754880 has 576 divisors, whose sum is σ = 882828797760. Its totient is φ = 48513024000.

The previous prime is 216805754833. The next prime is 216805754897. The reversal of 216805754880 is 88457508612.

216805754880 is a `hidden beast` number, since 2 + 1 + 68 + 0 + 575 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13170655 + ... + 13187105.

It is an arithmetic number, because the mean of its divisors is an integer number (1532688885).

Almost surely, 2^216805754880 is an apocalyptic number.

216805754880 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 216805754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441414398880).

216805754880 is an abundant number, since it is smaller than the sum of its proper divisors (666023042880).

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

216805754880 is a wasteful number, since it uses less digits than its factorization.

216805754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16485 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 216805754880 in words is "two hundred sixteen billion, eight hundred five million, seven hundred fifty-four thousand, eight hundred eighty".