11265600042 has 128 divisors (see below), whose sum is σ = 26827776000. Its totient is φ = 3537586224.

The previous prime is 11265600041. The next prime is 11265600083. The reversal of 11265600042 is 24000656211.

11265600042 is a `hidden beast` number, since 1 + 1 + 2 + 656 + 0 + 0 + 0 + 4 + 2 = 666.

11265600042 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11265599979 and 11265600015.

It is not an unprimeable number, because it can be changed into a prime (11265600041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23518759 + ... + 23519237.

It is an arithmetic number, because the mean of its divisors is an integer number (209592000).

Almost surely, 2^11265600042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11265600042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413888000).

11265600042 is an abundant number, since it is smaller than the sum of its proper divisors (15562175958).

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

11265600042 is an equidigital number, since it uses as much as digits as its factorization.

11265600042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11265600042 in words is "eleven billion, two hundred sixty-five million, six hundred thousand, forty-two".