542803581936 has 960 divisors, whose sum is σ = 2020140702720. Its totient is φ = 136538265600.

The previous prime is 542803581913. The next prime is 542803581941. The reversal of 542803581936 is 639185308245.

542803581936 is a `hidden beast` number, since 5 + 4 + 28 + 0 + 3 + 581 + 9 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1852571806 + ... + 1852572098.

It is an arithmetic number, because the mean of its divisors is an integer number (2104313232).

Almost surely, 2^542803581936 is an apocalyptic number.

542803581936 is a gapful number since it is divisible by the number (56) 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 542803581936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010070351360).

542803581936 is an abundant number, since it is smaller than the sum of its proper divisors (1477337120784).

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

542803581936 is a wasteful number, since it uses less digits than its factorization.

542803581936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 542803581936 in words is "five hundred forty-two billion, eight hundred three million, five hundred eighty-one thousand, nine hundred thirty-six".