11128441858560 has 2560 divisors, whose sum is σ = 46813003776000. Its totient is φ = 2481854349312.

The previous prime is 11128441858549. The next prime is 11128441858607. The reversal of 11128441858560 is 6585814482111.

11128441858560 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 44 + 18 + 585 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11128441858497 and 11128441858506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49903326609 + ... + 49903326831.

It is an arithmetic number, because the mean of its divisors is an integer number (18286329600).

Almost surely, 2^{11128441858560} is an apocalyptic number.

11128441858560 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 11128441858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406501888000).

11128441858560 is an abundant number, since it is smaller than the sum of its proper divisors (35684561917440).

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

11128441858560 is a wasteful number, since it uses less digits than its factorization.

11128441858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 11128441858560 in words is "eleven trillion, one hundred twenty-eight billion, four hundred forty-one million, eight hundred fifty-eight thousand, five hundred sixty".