11128894560 has 576 divisors, whose sum is σ = 45561664512. Its totient is φ = 2512705536.

The previous prime is 11128894519. The next prime is 11128894571. The reversal of 11128894560 is 6549882111.

It is a happy number.

11128894560 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 89 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28032282 + ... + 28032678.

It is an arithmetic number, because the mean of its divisors is an integer number (79100112).

Almost surely, 2^11128894560 is an apocalyptic number.

11128894560 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 11128894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22780832256).

11128894560 is an abundant number, since it is smaller than the sum of its proper divisors (34432769952).

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

11128894560 is a wasteful number, since it uses less digits than its factorization.

11128894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11128894560 in words is "eleven billion, one hundred twenty-eight million, eight hundred ninety-four thousand, five hundred sixty".