11653236072 has 96 divisors (see below), whose sum is σ = 32877761280. Its totient is φ = 3866849280.

The previous prime is 11653236059. The next prime is 11653236073. The reversal of 11653236072 is 27063235611.

11653236072 is a `hidden beast` number, since 1 + 16 + 5 + 32 + 3 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11653236073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420072 + ... + 446952.

It is an arithmetic number, because the mean of its divisors is an integer number (342476680).

Almost surely, 2^11653236072 is an apocalyptic number.

11653236072 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 11653236072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438880640).

11653236072 is an abundant number, since it is smaller than the sum of its proper divisors (21224525208).

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

11653236072 is a wasteful number, since it uses less digits than its factorization.

11653236072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27125 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 11653236072 in words is "eleven billion, six hundred fifty-three million, two hundred thirty-six thousand, seventy-two".