11329945600 has 180 divisors, whose sum is σ = 28441756000. Its totient is φ = 4476764160.

The previous prime is 11329945573. The next prime is 11329945603. The reversal of 11329945600 is 654992311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329945603) 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, 56934301 + ... + 56934499.

Almost surely, 2^11329945600 is an apocalyptic number.

11329945600 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 11329945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220878000).

11329945600 is an abundant number, since it is smaller than the sum of its proper divisors (17111810400).

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

11329945600 is an equidigital number, since it uses as much as digits as its factorization.

11329945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 11329945600 in words is "eleven billion, three hundred twenty-nine million, nine hundred forty-five thousand, six hundred".