288265361560 has 96 divisors (see below), whose sum is σ = 713110547520. Its totient is φ = 104795863040.

The previous prime is 288265361551. The next prime is 288265361627. The reversal of 288265361560 is 65163562882.

It is a junction number, because it is equal to n+sod(n) for n = 288265361498 and 288265361507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29582049 + ... + 29591791.

It is an arithmetic number, because the mean of its divisors is an integer number (7428234870).

Almost surely, 2^288265361560 is an apocalyptic number.

288265361560 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 288265361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356555273760).

288265361560 is an abundant number, since it is smaller than the sum of its proper divisors (424845185960).

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

288265361560 is a wasteful number, since it uses less digits than its factorization.

288265361560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889 (or 15874 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 288265361560 in words is "two hundred eighty-eight billion, two hundred sixty-five million, three hundred sixty-one thousand, five hundred sixty".