11005424533300 has 72 divisors (see below), whose sum is σ = 24893871377760. Its totient is φ = 4217925129600.

The previous prime is 11005424533289. The next prime is 11005424533307. The reversal of 11005424533300 is 333542450011.

11005424533300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11005424533300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005424533307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14104734 + ... + 14864533.

It is an arithmetic number, because the mean of its divisors is an integer number (345748213580).

Almost surely, 2^{11005424533300} is an apocalyptic number.

11005424533300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005424533300 is an abundant number, since it is smaller than the sum of its proper divisors (13888446844460).

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

11005424533300 is a wasteful number, since it uses less digits than its factorization.

11005424533300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28969441 (or 28969434 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 11005424533300 its reverse (333542450011), we get a palindrome (11338966983311).

The spelling of 11005424533300 in words is "eleven trillion, five billion, four hundred twenty-four million, five hundred thirty-three thousand, three hundred".