11573065728 has 384 divisors, whose sum is σ = 40569984000. Its totient is φ = 3189473280.

The previous prime is 11573065723. The next prime is 11573065739. The reversal of 11573065728 is 82756037511.

It is a happy number.

11573065728 is a `hidden beast` number, since 1 + 1 + 5 + 73 + 0 + 6 + 572 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11573065723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11224573 + ... + 11225603.

It is an arithmetic number, because the mean of its divisors is an integer number (105651000).

Almost surely, 2^11573065728 is an apocalyptic number.

11573065728 is a gapful number since it is divisible by the number (18) 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 11573065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992000).

11573065728 is an abundant number, since it is smaller than the sum of its proper divisors (28996918272).

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

11573065728 is a wasteful number, since it uses less digits than its factorization.

11573065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11573065728 in words is "eleven billion, five hundred seventy-three million, sixty-five thousand, seven hundred twenty-eight".