11289879360 has 224 divisors, whose sum is σ = 41560577280. Its totient is φ = 2879686656.

The previous prime is 11289879347. The next prime is 11289879361. The reversal of 11289879360 is 6397898211.

11289879360 is a `hidden beast` number, since 1 + 128 + 98 + 79 + 360 = 666.

It is a super-2 number, since 2×11289879360² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11289879297 and 11289879306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289879361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170314 + ... + 227126.

Almost surely, 2^11289879360 is an apocalyptic number.

11289879360 is a gapful number since it is divisible by the number (10) 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 11289879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780288640).

11289879360 is an abundant number, since it is smaller than the sum of its proper divisors (30270697920).

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

11289879360 is a wasteful number, since it uses less digits than its factorization.

11289879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56862 (or 56846 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11289879360 in words is "eleven billion, two hundred eighty-nine million, eight hundred seventy-nine thousand, three hundred sixty".