11127561660 has 144 divisors (see below), whose sum is σ = 36132969600. Its totient is φ = 2763476352.

The previous prime is 11127561619. The next prime is 11127561721. The reversal of 11127561660 is 6616572111.

It is a happy number.

11127561660 is a `hidden beast` number, since 1 + 11 + 27 + 5 + 616 + 6 + 0 = 666.

11127561660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 174207 + ... + 229353.

It is an arithmetic number, because the mean of its divisors is an integer number (250923400).

Almost surely, 2^11127561660 is an apocalyptic number.

11127561660 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 11127561660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18066484800).

11127561660 is an abundant number, since it is smaller than the sum of its proper divisors (25005407940).

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

11127561660 is a wasteful number, since it uses less digits than its factorization.

11127561660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55240 (or 55235 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11127561660 in words is "eleven billion, one hundred twenty-seven million, five hundred sixty-one thousand, six hundred sixty".