15281883008 has 256 divisors, whose sum is σ = 39481344000. Its totient is φ = 5738895360.

The previous prime is 15281882971. The next prime is 15281883037. The reversal of 15281883008 is 80038818251.

15281883008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15281883008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12137483 + ... + 12138741.

It is an arithmetic number, because the mean of its divisors is an integer number (154224000).

Almost surely, 2^15281883008 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 15281883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672000).

15281883008 is an abundant number, since it is smaller than the sum of its proper divisors (24199460992).

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

15281883008 is a wasteful number, since it uses less digits than its factorization.

15281883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 44.

The spelling of 15281883008 in words is "fifteen billion, two hundred eighty-one million, eight hundred eighty-three thousand, eight".