11515013042016 has 96 divisors (see below), whose sum is σ = 32986515945600. Its totient is φ = 3488159175680.

The previous prime is 11515013041999. The next prime is 11515013042051. The reversal of 11515013042016 is 61024031051511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042780 + ... + 4910948.

It is an arithmetic number, because the mean of its divisors is an integer number (343609541100).

Almost surely, 2^{11515013042016} is an apocalyptic number.

11515013042016 is a gapful number since it is divisible by the number (16) 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 11515013042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493257972800).

11515013042016 is an abundant number, since it is smaller than the sum of its proper divisors (21471502903584).

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

11515013042016 is a wasteful number, since it uses less digits than its factorization.

11515013042016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871012 (or 3871004 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 11515013042016 its reverse (61024031051511), we get a palindrome (72539044093527).

The spelling of 11515013042016 in words is "eleven trillion, five hundred fifteen billion, thirteen million, forty-two thousand, sixteen".