11079226236960 has 384 divisors, whose sum is σ = 44342059184640. Its totient is φ = 2530957197312.

The previous prime is 11079226236889. The next prime is 11079226236961. The reversal of 11079226236960 is 6963262297011.

11079226236960 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 9 + 2 + 2 + 623 + 6 + 9 + 6 + 0 = 666.

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 = 11079226236897 and 11079226236906.

It is not an unprimeable number, because it can be changed into a prime (11079226236961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53633392 + ... + 53839568.

It is an arithmetic number, because the mean of its divisors is an integer number (115474112460).

Almost surely, 2^{11079226236960} is an apocalyptic number.

11079226236960 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 11079226236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22171029592320).

11079226236960 is an abundant number, since it is smaller than the sum of its proper divisors (33262832947680).

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

11079226236960 is a wasteful number, since it uses less digits than its factorization.

11079226236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207985 (or 207971 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 11079226236960 in words is "eleven trillion, seventy-nine billion, two hundred twenty-six million, two hundred thirty-six thousand, nine hundred sixty".