11725737600 has 384 divisors, whose sum is σ = 40882383360. Its totient is φ = 2952192000.

The previous prime is 11725737593. The next prime is 11725737619. The reversal of 11725737600 is 673752711.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285993580 + ... + 285993620.

It is an arithmetic number, because the mean of its divisors is an integer number (106464540).

Almost surely, 2^11725737600 is an apocalyptic number.

11725737600 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 11725737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441191680).

11725737600 is an abundant number, since it is smaller than the sum of its proper divisors (29156645760).

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

11725737600 is an frugal number, since it uses more digits than its factorization.

11725737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 11725737600 in words is "eleven billion, seven hundred twenty-five million, seven hundred thirty-seven thousand, six hundred".