15055105506 has 128 divisors (see below), whose sum is σ = 37071513600. Its totient is φ = 3980689920.

The previous prime is 15055105477. The next prime is 15055105511. The reversal of 15055105506 is 60550155051.

15055105506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 6348501 + ... + 6350871.

It is an arithmetic number, because the mean of its divisors is an integer number (289621200).

Almost surely, 2^15055105506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15055105506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18535756800).

15055105506 is an abundant number, since it is smaller than the sum of its proper divisors (22016408094).

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

15055105506 is a wasteful number, since it uses less digits than its factorization.

15055105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 15055105506 in words is "fifteen billion, fifty-five million, one hundred five thousand, five hundred six".