542872744000 has 336 divisors, whose sum is σ = 1399717086768. Its totient is φ = 208558080000.

The previous prime is 542872743971. The next prime is 542872744033. The reversal of 542872744000 is 447278245.

It can be written as a sum of positive squares in 8 ways, for example, as 20976308224 + 521896435776 = 144832^2 + 722424^2 .

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 47 ways as a sum of consecutive naturals, for example, 1852807854 + ... + 1852808146.

It is an arithmetic number, because the mean of its divisors is an integer number (4165824663).

Almost surely, 2^542872744000 is an apocalyptic number.

542872744000 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 542872744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699858543384).

542872744000 is an abundant number, since it is smaller than the sum of its proper divisors (856844342768).

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

542872744000 is a wasteful number, since it uses less digits than its factorization.

542872744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 43.

The spelling of 542872744000 in words is "five hundred forty-two billion, eight hundred seventy-two million, seven hundred forty-four thousand".