11553781128 has 128 divisors (see below), whose sum is σ = 31377456000. Its totient is φ = 3531755520.

The previous prime is 11553781123. The next prime is 11553781139. The reversal of 11553781128 is 82118735511.

It is a self number, because there is not a number n which added to its sum of digits gives 11553781128.

It is not an unprimeable number, because it can be changed into a prime (11553781121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2710663 + ... + 2714921.

It is an arithmetic number, because the mean of its divisors is an integer number (245136375).

Almost surely, 2^11553781128 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 11553781128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688728000).

11553781128 is an abundant number, since it is smaller than the sum of its proper divisors (19823674872).

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

11553781128 is a wasteful number, since it uses less digits than its factorization.

11553781128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4451 counting only the distinct ones).

The product of its digits is 67200, while the sum is 42.

The spelling of 11553781128 in words is "eleven billion, five hundred fifty-three million, seven hundred eighty-one thousand, one hundred twenty-eight".