11077285128 has 128 divisors (see below), whose sum is σ = 34183968000. Its totient is φ = 2912910336.

The previous prime is 11077285127. The next prime is 11077285129. The reversal of 11077285128 is 82158277011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11077285127) and next prime (11077285129).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11077285128.

It is not an unprimeable number, because it can be changed into a prime (11077285127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754950 + ... + 769482.

It is an arithmetic number, because the mean of its divisors is an integer number (267062250).

Almost surely, 2^11077285128 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 11077285128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091984000).

11077285128 is an abundant number, since it is smaller than the sum of its proper divisors (23106682872).

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

11077285128 is a wasteful number, since it uses less digits than its factorization.

11077285128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 42.

The spelling of 11077285128 in words is "eleven billion, seventy-seven million, two hundred eighty-five thousand, one hundred twenty-eight".