11601045072 has 320 divisors, whose sum is σ = 37096911360. Its totient is φ = 3452461056.

The previous prime is 11601045047. The next prime is 11601045077. The reversal of 11601045072 is 27054010611.

It is a happy number.

11601045072 is a `hidden beast` number, since 1 + 1 + 601 + 0 + 4 + 50 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601045077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29221578 + ... + 29221974.

It is an arithmetic number, because the mean of its divisors is an integer number (115927848).

Almost surely, 2^11601045072 is an apocalyptic number.

11601045072 is a gapful number since it is divisible by the number (12) 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 11601045072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548455680).

11601045072 is an abundant number, since it is smaller than the sum of its proper divisors (25495866288).

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

11601045072 is a wasteful number, since it uses less digits than its factorization.

11601045072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 11601045072 its reverse (27054010611), we get a palindrome (38655055683).

The spelling of 11601045072 in words is "eleven billion, six hundred one million, forty-five thousand, seventy-two".