216027216801564 has 144 divisors (see below), whose sum is σ = 587252288147616. Its totient is φ = 61628110656000.

The previous prime is 216027216801541. The next prime is 216027216801653. The reversal of 216027216801564 is 465108612720612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6105723154 + ... + 6105758534.

It is an arithmetic number, because the mean of its divisors is an integer number (4078140889914).

Almost surely, 2^{216027216801564} 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 216027216801564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293626144073808).

216027216801564 is an abundant number, since it is smaller than the sum of its proper divisors (371225071346052).

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

216027216801564 is a wasteful number, since it uses less digits than its factorization.

216027216801564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50916 (or 50907 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 216027216801564 in words is "two hundred sixteen trillion, twenty-seven billion, two hundred sixteen million, eight hundred one thousand, five hundred sixty-four".