11533002400000 has 108 divisors (see below), whose sum is σ = 28774352831364. Its totient is φ = 4613200640000.

The previous prime is 11533002399959. The next prime is 11533002400009. The reversal of 11533002400000 is 420033511.

It can be written as a sum of positive squares in 6 ways, for example, as 8320132567296 + 3212869832704 = 2884464^2 + 1792448^2 .

It is not an unprimeable number, because it can be changed into a prime (11533002400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6408127 + ... + 8008126.

It is an arithmetic number, because the mean of its divisors is an integer number (266429192883).

Almost surely, 2^{11533002400000} is an apocalyptic number.

11533002400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11533002400000 is an abundant number, since it is smaller than the sum of its proper divisors (17241350431364).

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

11533002400000 is an frugal number, since it uses more digits than its factorization.

11533002400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416294 (or 14416260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 11533002400000 its reverse (420033511), we get a palindrome (11533422433511).

The spelling of 11533002400000 in words is "eleven trillion, five hundred thirty-three billion, two million, four hundred thousand".