11155132032000 has 352 divisors, whose sum is σ = 40479454214784. Its totient is φ = 2704273408000.

The previous prime is 11155132031987. The next prime is 11155132032007. The reversal of 11155132032000 is 23023155111.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11155132032007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2903554 + ... + 5544446.

Almost surely, 2^{11155132032000} is an apocalyptic number.

11155132032000 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 11155132032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239727107392).

11155132032000 is an abundant number, since it is smaller than the sum of its proper divisors (29324322182784).

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

11155132032000 is a wasteful number, since it uses less digits than its factorization.

11155132032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640942 (or 2640914 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11155132032000 its reverse (23023155111), we get a palindrome (11178155187111).

The spelling of 11155132032000 in words is "eleven trillion, one hundred fifty-five billion, one hundred thirty-two million, thirty-two thousand".