216052462080 has 1280 divisors, whose sum is σ = 965188224000. Its totient is φ = 45519667200.

The previous prime is 216052462051. The next prime is 216052462081. The reversal of 216052462080 is 80264250612.

It is a happy number.

216052462080 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 5 + 24 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (216052462081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 308205730 + ... + 308206430.

It is an arithmetic number, because the mean of its divisors is an integer number (754053300).

Almost surely, 2^216052462080 is an apocalyptic number.

216052462080 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 216052462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482594112000).

216052462080 is an abundant number, since it is smaller than the sum of its proper divisors (749135761920).

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

216052462080 is an equidigital number, since it uses as much as digits as its factorization.

216052462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 216052462080 in words is "two hundred sixteen billion, fifty-two million, four hundred sixty-two thousand, eighty".