288051064080 has 640 divisors, whose sum is σ = 1078085998080. Its totient is φ = 62851645440.

The previous prime is 288051064039. The next prime is 288051064121. The reversal of 288051064080 is 80460150882.

It is an interprime number because it is at equal distance from previous prime (288051064039) and next prime (288051064121).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194496940 + ... + 194498420.

It is an arithmetic number, because the mean of its divisors is an integer number (1684509372).

Almost surely, 2^288051064080 is an apocalyptic number.

288051064080 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 288051064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539042999040).

288051064080 is an abundant number, since it is smaller than the sum of its proper divisors (790034934000).

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

288051064080 is a wasteful number, since it uses less digits than its factorization.

288051064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 288051064080 in words is "two hundred eighty-eight billion, fifty-one million, sixty-four thousand, eighty".