11496428800 has 108 divisors (see below), whose sum is σ = 29953430080. Its totient is φ = 4356495360.

The previous prime is 11496428759. The next prime is 11496428807. The reversal of 11496428800 is 882469411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496428807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74329 + ... + 168871.

Almost surely, 2^11496428800 is an apocalyptic number.

11496428800 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 11496428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976715040).

11496428800 is an abundant number, since it is smaller than the sum of its proper divisors (18457001280).

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

11496428800 is an equidigital number, since it uses as much as digits as its factorization.

11496428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94588 (or 94569 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 11496428800 in words is "eleven billion, four hundred ninety-six million, four hundred twenty-eight thousand, eight hundred".