11052542445200 has 60 divisors (see below), whose sum is σ = 28115717549220. Its totient is φ = 4160957153280.

The previous prime is 11052542445167. The next prime is 11052542445271. The reversal of 11052542445200 is 254424525011.

11052542445200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 934137714064 + 10118404731136 = 966508^2 + 3180944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812680145 + ... + 812693744.

It is an arithmetic number, because the mean of its divisors is an integer number (468595292487).

Almost surely, 2^{11052542445200} is an apocalyptic number.

11052542445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11052542445200 is an abundant number, since it is smaller than the sum of its proper divisors (17063175104020).

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

11052542445200 is a wasteful number, since it uses less digits than its factorization.

11052542445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625373924 (or 1625373913 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 11052542445200 in words is "eleven trillion, fifty-two billion, five hundred forty-two million, four hundred forty-five thousand, two hundred".