11541125556 has 18 divisors (see below), whose sum is σ = 29173400802. Its totient is φ = 3847041840.

The previous prime is 11541125539. The next prime is 11541125569. The reversal of 11541125556 is 65552114511.

11541125556 is a `hidden beast` number, since 1 + 1 + 541 + 12 + 55 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8682512400 + 2858613156 = 93180^2 + 53466^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 320586821 = 11541125556 / (1 + 1 + 5 + 4 + 1 + 1 + 2 + 5 + 5 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 11541125556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160293375 + ... + 160293446.

It is an arithmetic number, because the mean of its divisors is an integer number (1620744489).

Almost surely, 2^11541125556 is an apocalyptic number.

It is an amenable number.

11541125556 is an abundant number, since it is smaller than the sum of its proper divisors (17632275246).

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

11541125556 is a wasteful number, since it uses less digits than its factorization.

11541125556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320586831 (or 320586826 counting only the distinct ones).

The product of its digits is 30000, while the sum is 36.

The spelling of 11541125556 in words is "eleven billion, five hundred forty-one million, one hundred twenty-five thousand, five hundred fifty-six".