11506011515516 has 24 divisors (see below), whose sum is σ = 23149819585536. Its totient is φ = 4901619959280.

The previous prime is 11506011515513. The next prime is 11506011515641. The reversal of 11506011515516 is 61551511060511.

It is a self number, because there is not a number n which added to its sum of digits gives 11506011515516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506011515513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1230321620 + ... + 1230330971.

It is an arithmetic number, because the mean of its divisors is an integer number (964575816064).

Almost surely, 2^{11506011515516} is an apocalyptic number.

It is an amenable number.

11506011515516 is an abundant number, since it is smaller than the sum of its proper divisors (11643808070020).

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

11506011515516 is a wasteful number, since it uses less digits than its factorization.

11506011515516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460652769 (or 2460652767 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 38.

The spelling of 11506011515516 in words is "eleven trillion, five hundred six billion, eleven million, five hundred fifteen thousand, five hundred sixteen".