15105606560 has 48 divisors (see below), whose sum is σ = 38931272352. Its totient is φ = 5492947200.

The previous prime is 15105606557. The next prime is 15105606563. The reversal of 15105606560 is 6560650151.

It is an interprime number because it is at equal distance from previous prime (15105606557) and next prime (15105606563).

It is a self number, because there is not a number n which added to its sum of digits gives 15105606560.

It is not an unprimeable number, because it can be changed into a prime (15105606563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4289606 + ... + 4293125.

It is an arithmetic number, because the mean of its divisors is an integer number (811068174).

Almost surely, 2^15105606560 is an apocalyptic number.

15105606560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15105606560 is an abundant number, since it is smaller than the sum of its proper divisors (23825665792).

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

15105606560 is a wasteful number, since it uses less digits than its factorization.

15105606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582757 (or 8582749 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 15105606560 in words is "fifteen billion, one hundred five million, six hundred six thousand, five hundred sixty".