15256742208 has 448 divisors, whose sum is σ = 47395180800. Its totient is φ = 4299816960.

The previous prime is 15256742197. The next prime is 15256742297. The reversal of 15256742208 is 80224765251.

15256742208 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 15256742208.

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 63 ways as a sum of consecutive naturals, for example, 139970058 + ... + 139970166.

Almost surely, 2^15256742208 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 15256742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23697590400).

15256742208 is an abundant number, since it is smaller than the sum of its proper divisors (32138438592).

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

15256742208 is a wasteful number, since it uses less digits than its factorization.

15256742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 15256742208 in words is "fifteen billion, two hundred fifty-six million, seven hundred forty-two thousand, two hundred eight".