11242159354800 has 600 divisors, whose sum is σ = 44030823922800. Its totient is φ = 2724400742400.

The previous prime is 11242159354793. The next prime is 11242159354847. The reversal of 11242159354800 is 845395124211.

11242159354800 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 1 + 593 + 54 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×11242159354800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1922062276 + ... + 1922068124.

It is an arithmetic number, because the mean of its divisors is an integer number (73384706538).

Almost surely, 2^{11242159354800} is an apocalyptic number.

11242159354800 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 11242159354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22015411961400).

11242159354800 is an abundant number, since it is smaller than the sum of its proper divisors (32788664568000).

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

11242159354800 is a wasteful number, since it uses less digits than its factorization.

11242159354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11283 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11242159354800 in words is "eleven trillion, two hundred forty-two billion, one hundred fifty-nine million, three hundred fifty-four thousand, eight hundred".