11565440555152 has 160 divisors (see below), whose sum is σ = 25970438678400. Its totient is φ = 4931103744000.

The previous prime is 11565440555099. The next prime is 11565440555189. The reversal of 11565440555152 is 25155504456511.

It is a junction number, because it is equal to n+sod(n) for n = 11565440555096 and 11565440555105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028665902 + ... + 2028671602.

It is an arithmetic number, because the mean of its divisors is an integer number (162315241740).

Almost surely, 2^{11565440555152} 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 11565440555152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985219339200).

11565440555152 is an abundant number, since it is smaller than the sum of its proper divisors (14404998123248).

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

11565440555152 is a wasteful number, since it uses less digits than its factorization.

11565440555152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 49.

The spelling of 11565440555152 in words is "eleven trillion, five hundred sixty-five billion, four hundred forty million, five hundred fifty-five thousand, one hundred fifty-two".