216283475520 has 1008 divisors, whose sum is σ = 917769106800. Its totient is φ = 46531215360.

The previous prime is 216283475519. The next prime is 216283475531. The reversal of 216283475520 is 25574382612.

216283475520 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 83 + 47 + 5 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6394881024 + 209888594496 = 79968^2 + 458136^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 167791036 + ... + 167792324.

It is an arithmetic number, because the mean of its divisors is an integer number (910485225).

Almost surely, 2^216283475520 is an apocalyptic number.

216283475520 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 216283475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458884553400).

216283475520 is an abundant number, since it is smaller than the sum of its proper divisors (701485631280).

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

216283475520 is a wasteful number, since it uses less digits than its factorization.

216283475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 216283475520 in words is "two hundred sixteen billion, two hundred eighty-three million, four hundred seventy-five thousand, five hundred twenty".