542243079648000 has 2160 divisors, whose sum is σ = 2180042987522400. Its totient is φ = 133774825881600.

The previous prime is 542243079647933. The next prime is 542243079648007. The reversal of 542243079648000 is 846970342245.

It is a happy number.

542243079648000 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 430 + 79 + 64 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×542243079648000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (542243079648007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44196185866 + ... + 44196198134.

It is an arithmetic number, because the mean of its divisors is an integer number (1009279160890).

Almost surely, 2^{542243079648000} is an apocalyptic number.

542243079648000 is a gapful number since it is divisible by the number (50) 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 542243079648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090021493761200).

542243079648000 is an abundant number, since it is smaller than the sum of its proper divisors (1637799907874400).

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

542243079648000 is a wasteful number, since it uses less digits than its factorization.

542243079648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12405 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 542243079648000 in words is "five hundred forty-two trillion, two hundred forty-three billion, seventy-nine million, six hundred forty-eight thousand".