216580116480 has 416 divisors, whose sum is σ = 852910351104. Its totient is φ = 45694844928.

The previous prime is 216580116437. The next prime is 216580116499. The reversal of 216580116480 is 84611085612.

216580116480 is digitally balanced in base 3, 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 (416).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5571672 + ... + 5610408.

Almost surely, 2^216580116480 is an apocalyptic number.

216580116480 is a gapful number since it is divisible by the number (20) 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 216580116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426455175552).

216580116480 is an abundant number, since it is smaller than the sum of its proper divisors (636330234624).

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

216580116480 is a wasteful number, since it uses less digits than its factorization.

216580116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38789 (or 38767 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 216580116480 in words is "two hundred sixteen billion, five hundred eighty million, one hundred sixteen thousand, four hundred eighty".