8003080024128 has 2688 divisors, whose sum is σ = 31867586150400. Its totient is φ = 1936852549632.

The previous prime is 8003080024091. The next prime is 8003080024139. The reversal of 8003080024128 is 8214200803008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8003080024092 and 8003080024101.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101304810393 + ... + 101304810471.

It is an arithmetic number, because the mean of its divisors is an integer number (11855500800).

Almost surely, 2^{8003080024128} 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 8003080024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933793075200).

8003080024128 is an abundant number, since it is smaller than the sum of its proper divisors (23864506126272).

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

8003080024128 is a wasteful number, since it uses less digits than its factorization.

8003080024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 8003080024128 in words is "eight trillion, three billion, eighty million, twenty-four thousand, one hundred twenty-eight".