15506661140 has 36 divisors (see below), whose sum is σ = 34368103476. Its totient is φ = 5876205696.

The previous prime is 15506661139. The next prime is 15506661143. The reversal of 15506661140 is 4116660551.

15506661140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8498627344 + 7008033796 = 92188^2 + 83714^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15506661140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15506661143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1066649 + ... + 1081088.

It is an arithmetic number, because the mean of its divisors is an integer number (954669541).

Almost surely, 2^15506661140 is an apocalyptic number.

15506661140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15506661140 is an abundant number, since it is smaller than the sum of its proper divisors (18861442336).

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

15506661140 is a wasteful number, since it uses less digits than its factorization.

15506661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147784 (or 2147763 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 15506661140 in words is "fifteen billion, five hundred six million, six hundred sixty-one thousand, one hundred forty".