288948096675 has 72 divisors (see below), whose sum is σ = 617188425984. Its totient is φ = 126347474880.

The previous prime is 288948096643. The next prime is 288948096677. The reversal of 288948096675 is 576690849882.

288948096675 is a `hidden beast` number, since 2 + 8 + 89 + 480 + 9 + 6 + 67 + 5 = 666.

It is not a de Polignac number, because 288948096675 - 2⁵ = 288948096643 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (288948096677) 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 71 ways as a sum of consecutive naturals, for example, 3952017 + ... + 4024466.

It is an arithmetic number, because the mean of its divisors is an integer number (8572061472).

Almost surely, 2^288948096675 is an apocalyptic number.

288948096675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288948096675 is an abundant number, since it is smaller than the sum of its proper divisors (328240329309).

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

288948096675 is a wasteful number, since it uses less digits than its factorization.

288948096675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976529 (or 7976521 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 288948096675 in words is "two hundred eighty-eight billion, nine hundred forty-eight million, ninety-six thousand, six hundred seventy-five".