216808715925504 has 288 divisors, whose sum is σ = 652658578790400. Its totient is φ = 69259264081920.

The previous prime is 216808715925499. The next prime is 216808715925511. The reversal of 216808715925504 is 405529517808612.

216808715925504 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 0 + 8 + 71 + 5 + 9 + 2 + 550 + 4 = 666.

216808715925504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57011437 + ... + 60695315.

It is an arithmetic number, because the mean of its divisors is an integer number (2266175620800).

Almost surely, 2^{216808715925504} is an apocalyptic number.

216808715925504 is a gapful number since it is divisible by the number (24) 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 216808715925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326329289395200).

216808715925504 is an abundant number, since it is smaller than the sum of its proper divisors (435849862864896).

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

216808715925504 is a wasteful number, since it uses less digits than its factorization.

216808715925504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684041 (or 3684018 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 216808715925504 in words is "two hundred sixteen trillion, eight hundred eight billion, seven hundred fifteen million, nine hundred twenty-five thousand, five hundred four".