15111106660 has 96 divisors (see below), whose sum is σ = 35391922272. Its totient is φ = 5384171520.

The previous prime is 15111106597. The next prime is 15111106679. The reversal of 15111106660 is 6660111151.

It can be written as a sum of positive squares in 16 ways, for example, as 8440464384 + 6670642276 = 91872^2 + 81674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831592 + ... + 849568.

It is an arithmetic number, because the mean of its divisors is an integer number (368665857).

Almost surely, 2^15111106660 is an apocalyptic number.

15111106660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15111106660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695961136).

15111106660 is an abundant number, since it is smaller than the sum of its proper divisors (20280815612).

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

15111106660 is a wasteful number, since it uses less digits than its factorization.

15111106660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113 (or 18111 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

It can be divided in two parts, 15111 and 106660, that added together give a triangular number (121771 = T₄₉₃).

The spelling of 15111106660 in words is "fifteen billion, one hundred eleven million, one hundred six thousand, six hundred sixty".