11742729600 has 768 divisors, whose sum is σ = 49357555200. Its totient is φ = 2388787200.

The previous prime is 11742729589. The next prime is 11742729601. The reversal of 11742729600 is 692724711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742729601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21705330 + ... + 21705870.

It is an arithmetic number, because the mean of its divisors is an integer number (64267650).

Almost surely, 2^11742729600 is an apocalyptic number.

11742729600 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 11742729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678777600).

11742729600 is an abundant number, since it is smaller than the sum of its proper divisors (37614825600).

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

11742729600 is a wasteful number, since it uses less digits than its factorization.

11742729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 11742729600 in words is "eleven billion, seven hundred forty-two million, seven hundred twenty-nine thousand, six hundred".