216504365620056 has 256 divisors, whose sum is σ = 571963847616000. Its totient is φ = 68221081681920.

The previous prime is 216504365620031. The next prime is 216504365620117. The reversal of 216504365620056 is 650026563405612.

216504365620056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216504365619990 and 216504365620008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6691924776 + ... + 6691957128.

It is an arithmetic number, because the mean of its divisors is an integer number (2234233779750).

Almost surely, 2^{216504365620056} 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 216504365620056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981923808000).

216504365620056 is an abundant number, since it is smaller than the sum of its proper divisors (355459481995944).

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

216504365620056 is a wasteful number, since it uses less digits than its factorization.

216504365620056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34114 (or 34110 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 216504365620056 in words is "two hundred sixteen trillion, five hundred four billion, three hundred sixty-five million, six hundred twenty thousand, fifty-six".