15006245672 has 128 divisors (see below), whose sum is σ = 33312384000. Its totient is φ = 6267993600.

The previous prime is 15006245633. The next prime is 15006245719. The reversal of 15006245672 is 27654260051.

15006245672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5558579 + ... + 5561277.

It is an arithmetic number, because the mean of its divisors is an integer number (260253000).

Almost surely, 2^15006245672 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 15006245672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192000).

15006245672 is an abundant number, since it is smaller than the sum of its proper divisors (18306138328).

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

15006245672 is a wasteful number, since it uses less digits than its factorization.

15006245672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 15006245672 in words is "fifteen billion, six million, two hundred forty-five thousand, six hundred seventy-two".