11930419200 has 720 divisors, whose sum is σ = 48107198720. Its totient is φ = 2548039680.

The previous prime is 11930419159. The next prime is 11930419201. The reversal of 11930419200 is 291403911.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930419201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163430364 + ... + 163430436.

Almost surely, 2^11930419200 is an apocalyptic number.

11930419200 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 11930419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053599360).

11930419200 is an abundant number, since it is smaller than the sum of its proper divisors (36176779520).

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

11930419200 is an equidigital number, since it uses as much as digits as its factorization.

11930419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 11930419200 in words is "eleven billion, nine hundred thirty million, four hundred nineteen thousand, two hundred".