11111548890960 has 480 divisors, whose sum is σ = 42754694381568. Its totient is φ = 2533389696000.

The previous prime is 11111548890941. The next prime is 11111548890971. The reversal of 11111548890960 is 6909884511111.

11111548890960 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 548 + 8 + 9 + 0 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11111548890897 and 11111548890906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5386110889 + ... + 5386112951.

Almost surely, 2^{11111548890960} is an apocalyptic number.

11111548890960 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 11111548890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21377347190784).

11111548890960 is an abundant number, since it is smaller than the sum of its proper divisors (31643145490608).

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

11111548890960 is a wasteful number, since it uses less digits than its factorization.

11111548890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 54.

The spelling of 11111548890960 in words is "eleven trillion, one hundred eleven billion, five hundred forty-eight million, eight hundred ninety thousand, nine hundred sixty".