11532003032160 has 288 divisors, whose sum is σ = 42384786863328. Its totient is φ = 2838333726720.

The previous prime is 11532003032131. The next prime is 11532003032261. The reversal of 11532003032160 is 6123030023511.

11532003032160 is a `hidden beast` number, since 1 + 1 + 53 + 200 + 30 + 321 + 60 = 666.

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

It is a congruent number.

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, 201604524 + ... + 201661716.

It is an arithmetic number, because the mean of its divisors is an integer number (147169398831).

Almost surely, 2^{11532003032160} is an apocalyptic number.

11532003032160 is a gapful number since it is divisible by the number (10) 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 11532003032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192393431664).

11532003032160 is an abundant number, since it is smaller than the sum of its proper divisors (30852783831168).

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

11532003032160 is a wasteful number, since it uses less digits than its factorization.

11532003032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67998 (or 67987 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 11532003032160 its reverse (6123030023511), we get a palindrome (17655033055671).

The spelling of 11532003032160 in words is "eleven trillion, five hundred thirty-two billion, three million, thirty-two thousand, one hundred sixty".