11180048544 has 288 divisors, whose sum is σ = 38168020800. Its totient is φ = 3174474240.

The previous prime is 11180048507. The next prime is 11180048557. The reversal of 11180048544 is 44584008111.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 11180048499 and 11180048508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7662087 + ... + 7663545.

It is an arithmetic number, because the mean of its divisors is an integer number (132527850).

Almost surely, 2^11180048544 is an apocalyptic number.

11180048544 is a gapful number since it is divisible by the number (14) 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 11180048544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084010400).

11180048544 is an abundant number, since it is smaller than the sum of its proper divisors (26987972256).

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

11180048544 is a wasteful number, since it uses less digits than its factorization.

11180048544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 11180048544 in words is "eleven billion, one hundred eighty million, forty-eight thousand, five hundred forty-four".