11531533440000 has 440 divisors, whose sum is σ = 43894201709248. Its totient is φ = 2635776000000.

The previous prime is 11531533439963. The next prime is 11531533440023. The reversal of 11531533440000 is 4433513511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11531533440000.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 13011000 + ... + 13869000.

Almost surely, 2^{11531533440000} is an apocalyptic number.

11531533440000 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 11531533440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947100854624).

11531533440000 is an abundant number, since it is smaller than the sum of its proper divisors (32362668269248).

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

11531533440000 is an frugal number, since it uses more digits than its factorization.

11531533440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858051 (or 858018 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 11531533440000 its reverse (4433513511), we get a palindrome (11535966953511).

The spelling of 11531533440000 in words is "eleven trillion, five hundred thirty-one billion, five hundred thirty-three million, four hundred forty thousand".