216960032520 has 1728 divisors, whose sum is σ = 982748108160. Its totient is φ = 42124769280.

The previous prime is 216960032519. The next prime is 216960032621. The reversal of 216960032520 is 25230069612.

216960032520 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 600 + 3 + 25 + 20 = 666.

It is a super-2 number, since 2×216960032520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2972055204 + ... + 2972055276.

It is an arithmetic number, because the mean of its divisors is an integer number (568719970).

Almost surely, 2^216960032520 is an apocalyptic number.

216960032520 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 216960032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491374054080).

216960032520 is an abundant number, since it is smaller than the sum of its proper divisors (765788075640).

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

216960032520 is a wasteful number, since it uses less digits than its factorization.

216960032520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 216960032520 in words is "two hundred sixteen billion, nine hundred sixty million, thirty-two thousand, five hundred twenty".