11565105545130 has 192 divisors, whose sum is σ = 28707836755968. Its totient is φ = 2981566143360.

The previous prime is 11565105545113. The next prime is 11565105545131. The reversal of 11565105545130 is 3154550156511.

It is a happy number.

11565105545130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11565105545131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3430762345 + ... + 3430765715.

It is an arithmetic number, because the mean of its divisors is an integer number (149519983104).

Almost surely, 2^{11565105545130} is an apocalyptic number.

11565105545130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11565105545130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353918377984).

11565105545130 is an abundant number, since it is smaller than the sum of its proper divisors (17142731210838).

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

11565105545130 is a wasteful number, since it uses less digits than its factorization.

11565105545130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 11565105545130 in words is "eleven trillion, five hundred sixty-five billion, one hundred five million, five hundred forty-five thousand, one hundred thirty".