11200505424 has 40 divisors (see below), whose sum is σ = 29096307360. Its totient is φ = 3712641408.

The previous prime is 11200505401. The next prime is 11200505429. The reversal of 11200505424 is 42450500211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11200505394 and 11200505403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200505429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643207 + ... + 660390.

It is an arithmetic number, because the mean of its divisors is an integer number (727407684).

Almost surely, 2^11200505424 is an apocalyptic number.

It is an amenable number.

11200505424 is an abundant number, since it is smaller than the sum of its proper divisors (17895801936).

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

11200505424 is a wasteful number, since it uses less digits than its factorization.

11200505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303787 (or 1303781 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 11200505424 in words is "eleven billion, two hundred million, five hundred five thousand, four hundred twenty-four".