11602573728 has 96 divisors (see below), whose sum is σ = 31693939200. Its totient is φ = 3713477376.

The previous prime is 11602573727. The next prime is 11602573739. The reversal of 11602573728 is 82737520611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11602573728² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11602573728.

It is not an unprimeable number, because it can be changed into a prime (11602573727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219733 + ... + 267371.

It is an arithmetic number, because the mean of its divisors is an integer number (330145200).

Almost surely, 2^11602573728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11602573728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846969600).

11602573728 is an abundant number, since it is smaller than the sum of its proper divisors (20091365472).

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

11602573728 is a wasteful number, since it uses less digits than its factorization.

11602573728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47754 (or 47746 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 11602573728 in words is "eleven billion, six hundred two million, five hundred seventy-three thousand, seven hundred twenty-eight".