216663461520 has 960 divisors, whose sum is σ = 820747468800. Its totient is φ = 47048601600.

The previous prime is 216663461503. The next prime is 216663461627. The reversal of 216663461520 is 25164366612.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 906541561 + ... + 906541799.

It is an arithmetic number, because the mean of its divisors is an integer number (854945280).

Almost surely, 2^216663461520 is an apocalyptic number.

216663461520 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 216663461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410373734400).

216663461520 is an abundant number, since it is smaller than the sum of its proper divisors (604084007280).

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

216663461520 is a wasteful number, since it uses less digits than its factorization.

216663461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 216663461520 in words is "two hundred sixteen billion, six hundred sixty-three million, four hundred sixty-one thousand, five hundred twenty".