288539680968 has 192 divisors, whose sum is σ = 975509308800. Its totient is φ = 74851568640.

The previous prime is 288539680963. The next prime is 288539680993. The reversal of 288539680968 is 869086935882.

288539680968 is a `hidden beast` number, since 2 + 8 + 8 + 539 + 6 + 80 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 288539680896 and 288539680905.

It is not an unprimeable number, because it can be changed into a prime (288539680963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4452930 + ... + 4517262.

It is an arithmetic number, because the mean of its divisors is an integer number (5080777650).

Almost surely, 2^288539680968 is an apocalyptic number.

288539680968 is a gapful number since it is divisible by the number (28) 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 288539680968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487754654400).

288539680968 is an abundant number, since it is smaller than the sum of its proper divisors (686969627832).

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

288539680968 is a wasteful number, since it uses less digits than its factorization.

288539680968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65172 (or 65165 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 288539680968 in words is "two hundred eighty-eight billion, five hundred thirty-nine million, six hundred eighty thousand, nine hundred sixty-eight".