11565114000 has 160 divisors (see below), whose sum is σ = 40675789440. Its totient is φ = 2803648000.

The previous prime is 11565113999. The next prime is 11565114007. The reversal of 11565114000 is 41156511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11565114007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21615 + ... + 153614.

It is an arithmetic number, because the mean of its divisors is an integer number (254223684).

Almost surely, 2^11565114000 is an apocalyptic number.

11565114000 is a gapful number since it is divisible by the number (10) 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 11565114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337894720).

11565114000 is an abundant number, since it is smaller than the sum of its proper divisors (29110675440).

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

11565114000 is a wasteful number, since it uses less digits than its factorization.

11565114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175266 (or 175250 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 11565114000 in words is "eleven billion, five hundred sixty-five million, one hundred fourteen thousand".