11557755048 has 288 divisors, whose sum is σ = 36890691840. Its totient is φ = 3004968960.

The previous prime is 11557755037. The next prime is 11557755089. The reversal of 11557755048 is 84055775511.

It is a happy number.

It is a Cunningham number, because it is equal to 107507²-1.

It is a junction number, because it is equal to n+sod(n) for n = 11557754988 and 11557755006.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10535236 + ... + 10536332.

It is an arithmetic number, because the mean of its divisors is an integer number (128092680).

Almost surely, 2^11557755048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11557755048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445345920).

11557755048 is an abundant number, since it is smaller than the sum of its proper divisors (25332936792).

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

11557755048 is a wasteful number, since it uses less digits than its factorization.

11557755048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 48.

The spelling of 11557755048 in words is "eleven billion, five hundred fifty-seven million, seven hundred fifty-five thousand, forty-eight".