288405563120 has 20 divisors (see below), whose sum is σ = 670542934440. Its totient is φ = 115362225216.

The previous prime is 288405563063. The next prime is 288405563137. The reversal of 288405563120 is 21365504882.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1802534690 + ... + 1802534849.

It is an arithmetic number, because the mean of its divisors is an integer number (33527146722).

Almost surely, 2^288405563120 is an apocalyptic number.

288405563120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288405563120 is an abundant number, since it is smaller than the sum of its proper divisors (382137371320).

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

288405563120 is a wasteful number, since it uses less digits than its factorization.

288405563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605069552 (or 3605069546 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 288405563120 in words is "two hundred eighty-eight billion, four hundred five million, five hundred sixty-three thousand, one hundred twenty".