11024635024 has 80 divisors (see below), whose sum is σ = 23404752000. Its totient is φ = 5000168448.

The previous prime is 11024635021. The next prime is 11024635051. The reversal of 11024635024 is 42053642011.

It is a junction number, because it is equal to n+sod(n) for n = 11024634983 and 11024635001.

It is not an unprimeable number, because it can be changed into a prime (11024635021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3433932 + ... + 3437140.

It is an arithmetic number, because the mean of its divisors is an integer number (292559400).

Almost surely, 2^11024635024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11024635024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702376000).

11024635024 is an abundant number, since it is smaller than the sum of its proper divisors (12380116976).

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

11024635024 is a wasteful number, since it uses less digits than its factorization.

11024635024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 11024635024 in words is "eleven billion, twenty-four million, six hundred thirty-five thousand, twenty-four".