216322520765624 has 128 divisors (see below), whose sum is σ = 511441440854400. Its totient is φ = 83481093365760.

The previous prime is 216322520765551. The next prime is 216322520765627. The reversal of 216322520765624 is 426567025223612.

It is a super-2 number, since 2×216322520765624² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216322520765627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257138444 + ... + 257978340.

It is an arithmetic number, because the mean of its divisors is an integer number (3995636256675).

Almost surely, 2^{216322520765624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216322520765624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255720720427200).

216322520765624 is an abundant number, since it is smaller than the sum of its proper divisors (295118920088776).

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

216322520765624 is a wasteful number, since it uses less digits than its factorization.

216322520765624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848593 (or 848589 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 53.

The spelling of 216322520765624 in words is "two hundred sixteen trillion, three hundred twenty-two billion, five hundred twenty million, seven hundred sixty-five thousand, six hundred twenty-four".