11258279424 has 560 divisors, whose sum is σ = 40074101760. Its totient is φ = 3090493440.

The previous prime is 11258279411. The next prime is 11258279441. The reversal of 11258279424 is 42497285211.

It is a self number, because there is not a number n which added to its sum of digits gives 11258279424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80994747 + ... + 80994885.

It is an arithmetic number, because the mean of its divisors is an integer number (71560896).

Almost surely, 2^11258279424 is an apocalyptic number.

11258279424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11258279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037050880).

11258279424 is an abundant number, since it is smaller than the sum of its proper divisors (28815822336).

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

11258279424 is an frugal number, since it uses more digits than its factorization.

11258279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11258279424 in words is "eleven billion, two hundred fifty-eight million, two hundred seventy-nine thousand, four hundred twenty-four".