11633131603040 has 96 divisors (see below), whose sum is σ = 27631483520256. Its totient is φ = 4628169031680.

The previous prime is 11633131603019. The next prime is 11633131603043. The reversal of 11633131603040 is 4030613133611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11633131602988 and 11633131603006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11633131603043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156864209 + ... + 156938351.

It is an arithmetic number, because the mean of its divisors is an integer number (287827953336).

Almost surely, 2^{11633131603040} is an apocalyptic number.

11633131603040 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 11633131603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815741760128).

11633131603040 is an abundant number, since it is smaller than the sum of its proper divisors (15998351917216).

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

11633131603040 is a wasteful number, since it uses less digits than its factorization.

11633131603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79432 (or 79424 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 11633131603040 its reverse (4030613133611), we get a palindrome (15663744736651).

The spelling of 11633131603040 in words is "eleven trillion, six hundred thirty-three billion, one hundred thirty-one million, six hundred three thousand, forty".