11328775600 has 120 divisors (see below), whose sum is σ = 27995083200. Its totient is φ = 4402944000.

The previous prime is 11328775553. The next prime is 11328775607. The reversal of 11328775600 is 657782311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11328775607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443126 + ... + 4445674.

It is an arithmetic number, because the mean of its divisors is an integer number (233292360).

Almost surely, 2^11328775600 is an apocalyptic number.

11328775600 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 11328775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997541600).

11328775600 is an abundant number, since it is smaller than the sum of its proper divisors (16666307600).

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

11328775600 is a wasteful number, since it uses less digits than its factorization.

11328775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 11328775600 in words is "eleven billion, three hundred twenty-eight million, seven hundred seventy-five thousand, six hundred".