11515879257168 has 320 divisors, whose sum is σ = 36820913310720. Its totient is φ = 3049104384000.

The previous prime is 11515879257163. The next prime is 11515879257203. The reversal of 11515879257168 is 86175297851511.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11515879257099 and 11515879257108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515879257163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156592855 + ... + 156666377.

It is an arithmetic number, because the mean of its divisors is an integer number (115065354096).

Almost surely, 2^{11515879257168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11515879257168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410456655360).

11515879257168 is an abundant number, since it is smaller than the sum of its proper divisors (25305034053552).

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

11515879257168 is a wasteful number, since it uses less digits than its factorization.

11515879257168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74778 (or 74772 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 66.

The spelling of 11515879257168 in words is "eleven trillion, five hundred fifteen billion, eight hundred seventy-nine million, two hundred fifty-seven thousand, one hundred sixty-eight".