216501919760 has 160 divisors (see below), whose sum is σ = 601804339200. Its totient is φ = 70863851520.

The previous prime is 216501919721. The next prime is 216501919771. The reversal of 216501919760 is 67919105612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370465 + ... + 1520255.

It is an arithmetic number, because the mean of its divisors is an integer number (3761277120).

Almost surely, 2^216501919760 is an apocalyptic number.

216501919760 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 216501919760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300902169600).

216501919760 is an abundant number, since it is smaller than the sum of its proper divisors (385302419440).

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

216501919760 is a wasteful number, since it uses less digits than its factorization.

216501919760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149929 (or 149923 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 47.

The spelling of 216501919760 in words is "two hundred sixteen billion, five hundred one million, nine hundred nineteen thousand, seven hundred sixty".