11930738400 has 576 divisors, whose sum is σ = 51921676800. Its totient is φ = 2582876160.

The previous prime is 11930738371. The next prime is 11930738401. The reversal of 11930738400 is 483703911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930738401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2870724 + ... + 2874876.

It is an arithmetic number, because the mean of its divisors is an integer number (90141800).

Almost surely, 2^11930738400 is an apocalyptic number.

11930738400 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 11930738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960838400).

11930738400 is an abundant number, since it is smaller than the sum of its proper divisors (39990938400).

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

11930738400 is a wasteful number, since it uses less digits than its factorization.

11930738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11930738400 in words is "eleven billion, nine hundred thirty million, seven hundred thirty-eight thousand, four hundred".