216812719386720 has 144 divisors (see below), whose sum is σ = 740972774348352. Its totient is φ = 57730815959040.

The previous prime is 216812719386673. The next prime is 216812719386727. The reversal of 216812719386720 is 27683917218612.

216812719386720 is a `hidden beast` number, since 2 + 1 + 68 + 127 + 1 + 9 + 386 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216812719386727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110891496 + ... + 112829735.

It is an arithmetic number, because the mean of its divisors is an integer number (5145644266308).

Almost surely, 2^{216812719386720} is an apocalyptic number.

216812719386720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216812719386720 is an abundant number, since it is smaller than the sum of its proper divisors (524160054961632).

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

216812719386720 is a wasteful number, since it uses less digits than its factorization.

216812719386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223721925 (or 223721914 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 216812719386720 in words is "two hundred sixteen trillion, eight hundred twelve billion, seven hundred nineteen million, three hundred eighty-six thousand, seven hundred twenty".