542206825344 has 224 divisors, whose sum is σ = 1640048248800. Its totient is φ = 178445389824.

The previous prime is 542206825337. The next prime is 542206825367. The reversal of 542206825344 is 443528602245.

It is a happy number.

542206825344 is a `hidden beast` number, since 5 + 4 + 220 + 6 + 82 + 5 + 344 = 666.

It is a super-4 number, since 4×542206825344⁴ (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542206825344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7334872 + ... + 7408424.

Almost surely, 2^542206825344 is an apocalyptic number.

542206825344 is a gapful number since it is divisible by the number (54) 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 542206825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820024124400).

542206825344 is an abundant number, since it is smaller than the sum of its proper divisors (1097841423456).

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

542206825344 is an frugal number, since it uses more digits than its factorization.

542206825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73664 (or 73637 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 542206825344 in words is "five hundred forty-two billion, two hundred six million, eight hundred twenty-five thousand, three hundred forty-four".