216576257504 has 96 divisors (see below), whose sum is σ = 449017732800. Its totient is φ = 102728908800.

The previous prime is 216576257489. The next prime is 216576257509. The reversal of 216576257504 is 405752675612.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216576257509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6784172 + ... + 6816020.

It is an arithmetic number, because the mean of its divisors is an integer number (4677268050).

Almost surely, 2^216576257504 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 216576257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224508866400).

216576257504 is an abundant number, since it is smaller than the sum of its proper divisors (232441475296).

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

216576257504 is a wasteful number, since it uses less digits than its factorization.

216576257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32044 (or 32036 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 216576257504 in words is "two hundred sixteen billion, five hundred seventy-six million, two hundred fifty-seven thousand, five hundred four".