288288232160 has 96 divisors (see below), whose sum is σ = 687073508352. Its totient is φ = 114302361600.

The previous prime is 288288232159. The next prime is 288288232163. The reversal of 288288232160 is 61232882882.

It is a super-2 number, since 2×288288232160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288288232099 and 288288232108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288288232163) 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 15 ways as a sum of consecutive naturals, for example, 24398414 + ... + 24410226.

It is an arithmetic number, because the mean of its divisors is an integer number (7157015712).

Almost surely, 2^288288232160 is an apocalyptic number.

288288232160 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 288288232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343536754176).

288288232160 is an abundant number, since it is smaller than the sum of its proper divisors (398785276192).

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

288288232160 is a wasteful number, since it uses less digits than its factorization.

288288232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The spelling of 288288232160 in words is "two hundred eighty-eight billion, two hundred eighty-eight million, two hundred thirty-two thousand, one hundred sixty".