288862860003120 has 1280 divisors, whose sum is σ = 1145923431206400. Its totient is φ = 66251579719680.

The previous prime is 288862860003031. The next prime is 288862860003127. The reversal of 288862860003120 is 21300068268882.

288862860003120 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 6 + 2 + 8 + 600 + 0 + 3 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (288862860003127) 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 255 ways as a sum of consecutive naturals, for example, 111401024544 + ... + 111401027136.

It is an arithmetic number, because the mean of its divisors is an integer number (895252680630).

Almost surely, 2^{288862860003120} is an apocalyptic number.

288862860003120 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 288862860003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572961715603200).

288862860003120 is an abundant number, since it is smaller than the sum of its proper divisors (857060571203280).

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

288862860003120 is a wasteful number, since it uses less digits than its factorization.

288862860003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 288862860003120 in words is "two hundred eighty-eight trillion, eight hundred sixty-two billion, eight hundred sixty million, three thousand, one hundred twenty".