11285442000 has 240 divisors, whose sum is σ = 45047688192. Its totient is φ = 2579500800.

The previous prime is 11285441983. The next prime is 11285442001. The reversal of 11285442000 is 24458211.

11285442000 is a `hidden beast` number, since 112 + 8 + 544 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11285442000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285442001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81217 + ... + 170783.

Almost surely, 2^11285442000 is an apocalyptic number.

11285442000 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 11285442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22523844096).

11285442000 is an abundant number, since it is smaller than the sum of its proper divisors (33762246192).

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

11285442000 is a wasteful number, since it uses less digits than its factorization.

11285442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89603 (or 89584 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 11285442000 in words is "eleven billion, two hundred eighty-five million, four hundred forty-two thousand".