216528403615020 has 768 divisors, whose sum is σ = 810515607552000. Its totient is φ = 46947424075776.

The previous prime is 216528403615019. The next prime is 216528403615037. The reversal of 216528403615020 is 20516304825612.

216528403615020 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 2 + 8 + 4 + 0 + 3 + 615 + 0 + 20 = 666.

216528403615020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1456665861 + ... + 1456814499.

It is an arithmetic number, because the mean of its divisors is an integer number (1055358864000).

Almost surely, 2^{216528403615020} is an apocalyptic number.

216528403615020 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 216528403615020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405257803776000).

216528403615020 is an abundant number, since it is smaller than the sum of its proper divisors (593987203936980).

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

216528403615020 is a wasteful number, since it uses less digits than its factorization.

216528403615020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148927 (or 148919 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 216528403615020 in words is "two hundred sixteen trillion, five hundred twenty-eight billion, four hundred three million, six hundred fifteen thousand, twenty".