539938605024 has 288 divisors, whose sum is σ = 1959779727360. Its totient is φ = 142401203712.

The previous prime is 539938604999. The next prime is 539938605043. The reversal of 539938605024 is 420506839935.

539938605024 is a `hidden beast` number, since 5 + 3 + 9 + 9 + 3 + 8 + 605 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 326097 + ... + 1089135.

It is an arithmetic number, because the mean of its divisors is an integer number (6804790720).

Almost surely, 2^539938605024 is an apocalyptic number.

539938605024 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 539938605024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979889863680).

539938605024 is an abundant number, since it is smaller than the sum of its proper divisors (1419841122336).

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

539938605024 is a wasteful number, since it uses less digits than its factorization.

539938605024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763084 (or 763064 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 539938605024 in words is "five hundred thirty-nine billion, nine hundred thirty-eight million, six hundred five thousand, twenty-four".