11530352001132 has 192 divisors, whose sum is σ = 30427923456000. Its totient is φ = 3775469592384.

The previous prime is 11530352001107. The next prime is 11530352001197. The reversal of 11530352001132 is 23110025303511.

11530352001132 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 0 + 3 + 520 + 0 + 1 + 132 = 666.

It is a super-3 number, since 3×11530352001132³ (a number of 40 digits) contains 333 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 = 11530352001096 and 11530352001105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742592353 + ... + 742607879.

It is an arithmetic number, because the mean of its divisors is an integer number (158478768000).

Almost surely, 2^{11530352001132} is an apocalyptic number.

11530352001132 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 11530352001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213961728000).

11530352001132 is an abundant number, since it is smaller than the sum of its proper divisors (18897571454868).

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

11530352001132 is a wasteful number, since it uses less digits than its factorization.

11530352001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 11530352001132 its reverse (23110025303511), we get a palindrome (34640377304643).

The spelling of 11530352001132 in words is "eleven trillion, five hundred thirty billion, three hundred fifty-two million, one thousand, one hundred thirty-two".