11079519360 has 384 divisors, whose sum is σ = 44246865600. Its totient is φ = 2337398784.

The previous prime is 11079519331. The next prime is 11079519371. The reversal of 11079519360 is 6391597011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11079519360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218511 + ... + 1227569.

Almost surely, 2^11079519360 is an apocalyptic number.

11079519360 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 11079519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123432800).

11079519360 is an abundant number, since it is smaller than the sum of its proper divisors (33167346240).

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

11079519360 is a wasteful number, since it uses less digits than its factorization.

11079519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The spelling of 11079519360 in words is "eleven billion, seventy-nine million, five hundred nineteen thousand, three hundred sixty".