288084625920 has 1440 divisors, whose sum is σ = 1297963675008. Its totient is φ = 60699082752.

The previous prime is 288084625859. The next prime is 288084626023. The reversal of 288084625920 is 29526480882.

It is a happy number.

288084625920 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 8 + 4 + 625 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396264597 + ... + 396265323.

Almost surely, 2^288084625920 is an apocalyptic number.

288084625920 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 288084625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648981837504).

288084625920 is an abundant number, since it is smaller than the sum of its proper divisors (1009879049088).

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

288084625920 is an equidigital number, since it uses as much as digits as its factorization.

288084625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 288084625920 in words is "two hundred eighty-eight billion, eighty-four million, six hundred twenty-five thousand, nine hundred twenty".