11279369261160 has 2560 divisors, whose sum is σ = 54297226368000. Its totient is φ = 2021073223680.

The previous prime is 11279369261159. The next prime is 11279369261201. The reversal of 11279369261160 is 6116296397211.

11279369261160 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 369 + 261 + 16 + 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 = 11279369261097 and 11279369261106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8215126234 + ... + 8215127606.

It is an arithmetic number, because the mean of its divisors is an integer number (21209854050).

Almost surely, 2^{11279369261160} is an apocalyptic number.

11279369261160 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 11279369261160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148613184000).

11279369261160 is an abundant number, since it is smaller than the sum of its proper divisors (43017857106840).

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

11279369261160 is a wasteful number, since it uses less digits than its factorization.

11279369261160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 11279369261160 in words is "eleven trillion, two hundred seventy-nine billion, three hundred sixty-nine million, two hundred sixty-one thousand, one hundred sixty".