288542383920 has 1600 divisors, whose sum is σ = 1260369331200. Its totient is φ = 60503224320.

The previous prime is 288542383889. The next prime is 288542383937. The reversal of 288542383920 is 29383245882.

288542383920 is a `hidden beast` number, since 2 + 8 + 8 + 542 + 3 + 8 + 3 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4890548851 + ... + 4890548909.

It is an arithmetic number, because the mean of its divisors is an integer number (787730832).

Almost surely, 2^288542383920 is an apocalyptic number.

288542383920 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 288542383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630184665600).

288542383920 is an abundant number, since it is smaller than the sum of its proper divisors (971826947280).

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

288542383920 is a wasteful number, since it uses less digits than its factorization.

288542383920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 288542383920 in words is "two hundred eighty-eight billion, five hundred forty-two million, three hundred eighty-three thousand, nine hundred twenty".