11159115470568 has 512 divisors, whose sum is σ = 36684648000000. Its totient is φ = 3111831281664.

The previous prime is 11159115470563. The next prime is 11159115470579. The reversal of 11159115470568 is 86507451195111.

It is a happy number.

11159115470568 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 9 + 1 + 1 + 5 + 4 + 70 + 568 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11159115470563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168612588 + ... + 168678756.

It is an arithmetic number, because the mean of its divisors is an integer number (71649703125).

Almost surely, 2^{11159115470568} is an apocalyptic number.

11159115470568 is a gapful number since it is divisible by the number (18) 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 11159115470568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18342324000000).

11159115470568 is an abundant number, since it is smaller than the sum of its proper divisors (25525532529432).

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

11159115470568 is a wasteful number, since it uses less digits than its factorization.

11159115470568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66354 (or 66344 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 54.

The spelling of 11159115470568 in words is "eleven trillion, one hundred fifty-nine billion, one hundred fifteen million, four hundred seventy thousand, five hundred sixty-eight".