216475809735720 has 256 divisors, whose sum is σ = 685285235712000. Its totient is φ = 54598061270016.

The previous prime is 216475809735709. The next prime is 216475809735739. The reversal of 216475809735720 is 27537908574612.

It is a super-3 number, since 3×216475809735720³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145770301 + ... + 147247859.

It is an arithmetic number, because the mean of its divisors is an integer number (2676895452000).

It is a 1-persistent number, because it is pandigital, but 2⋅216475809735720 = 432951619471440 is not.

Almost surely, 2^{216475809735720} is an apocalyptic number.

216475809735720 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 216475809735720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342642617856000).

216475809735720 is an abundant number, since it is smaller than the sum of its proper divisors (468809425976280).

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

216475809735720 is a wasteful number, since it uses less digits than its factorization.

216475809735720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478192 (or 1478188 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 66.

The spelling of 216475809735720 in words is "two hundred sixteen trillion, four hundred seventy-five billion, eight hundred nine million, seven hundred thirty-five thousand, seven hundred twenty".