10288283536128 has 288 divisors, whose sum is σ = 31284333259200. Its totient is φ = 2973533995008.

The previous prime is 10288283536081. The next prime is 10288283536159. The reversal of 10288283536128 is 82163538288201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86332008 + ... + 86451096.

It is an arithmetic number, because the mean of its divisors is an integer number (108626157150).

Almost surely, 2^{10288283536128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288283536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642166629600).

10288283536128 is an abundant number, since it is smaller than the sum of its proper divisors (20996049723072).

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

10288283536128 is a wasteful number, since it uses less digits than its factorization.

10288283536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119647 (or 119633 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 10288283536128 in words is "ten trillion, two hundred eighty-eight billion, two hundred eighty-three million, five hundred thirty-six thousand, one hundred twenty-eight".