11583011232 has 288 divisors, whose sum is σ = 38184048000. Its totient is φ = 3408058368.

The previous prime is 11583011221. The next prime is 11583011257. The reversal of 11583011232 is 23211038511.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11583011232² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11583011196 and 11583011205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3356644 + ... + 3360092.

It is an arithmetic number, because the mean of its divisors is an integer number (132583500).

Almost surely, 2^11583011232 is an apocalyptic number.

11583011232 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 11583011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092024000).

11583011232 is an abundant number, since it is smaller than the sum of its proper divisors (26601036768).

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

11583011232 is a wasteful number, since it uses less digits than its factorization.

11583011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11583011232 its reverse (23211038511), we get a palindrome (34794049743).

The spelling of 11583011232 in words is "eleven billion, five hundred eighty-three million, eleven thousand, two hundred thirty-two".