11728952524800 has 2304 divisors, whose sum is σ = 51539978730240. Its totient is φ = 2491416576000.

The previous prime is 11728952524727. The next prime is 11728952524811. The reversal of 11728952524800 is 842525982711.

It is a happy number.

11728952524800 is a `hidden beast` number, since 1 + 1 + 7 + 28 + 95 + 2 + 52 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48667852680 + ... + 48667852920.

It is an arithmetic number, because the mean of its divisors is an integer number (22369782435).

Almost surely, 2^{11728952524800} is an apocalyptic number.

11728952524800 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 11728952524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769989365120).

11728952524800 is an abundant number, since it is smaller than the sum of its proper divisors (39811026205440).

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

11728952524800 is a wasteful number, since it uses less digits than its factorization.

11728952524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 11728952524800 in words is "eleven trillion, seven hundred twenty-eight billion, nine hundred fifty-two million, five hundred twenty-four thousand, eight hundred".