11553362040432 has 80 divisors (see below), whose sum is σ = 30354193511840. Its totient is φ = 3785649177600.

The previous prime is 11553362040427. The next prime is 11553362040439. The reversal of 11553362040432 is 23404026335511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553362040439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3529194 + ... + 5963382.

It is an arithmetic number, because the mean of its divisors is an integer number (379427418898).

Almost surely, 2^{11553362040432} is an apocalyptic number.

11553362040432 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 11553362040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177096755920).

11553362040432 is an abundant number, since it is smaller than the sum of its proper divisors (18800831471408).

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

11553362040432 is a wasteful number, since it uses less digits than its factorization.

11553362040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435882 (or 2435876 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 11553362040432 its reverse (23404026335511), we get a palindrome (34957388375943).

The spelling of 11553362040432 in words is "eleven trillion, five hundred fifty-three billion, three hundred sixty-two million, forty thousand, four hundred thirty-two".