216185345280 has 180 divisors, whose sum is σ = 773551070292. Its totient is φ = 57649397760.

The previous prime is 216185345279. The next prime is 216185345303. The reversal of 216185345280 is 82543581612.

216185345280 is a `hidden beast` number, since 2 + 1 + 61 + 8 + 534 + 52 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157729711104 + 58455634176 = 397152^2 + 241776^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×216185345280² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 938881 + ... + 1146240.

Almost surely, 2^216185345280 is an apocalyptic number.

216185345280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216185345280 is an abundant number, since it is smaller than the sum of its proper divisors (557365725012).

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

216185345280 is an equidigital number, since it uses as much as digits as its factorization.

216185345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085154 (or 2085131 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 216185345280 in words is "two hundred sixteen billion, one hundred eighty-five million, three hundred forty-five thousand, two hundred eighty".