539984287365120 has 2880 divisors, whose sum is σ = 2207643232354560. Its totient is φ = 125494139289600.

The previous prime is 539984287365101. The next prime is 539984287365209. The reversal of 539984287365120 is 21563782489935.

539984287365120 is a `hidden beast` number, since 5 + 3 + 9 + 9 + 8 + 428 + 73 + 6 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×539984287365120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 13170348472300 + ... + 13170348472340.

It is an arithmetic number, because the mean of its divisors is an integer number (766542789012).

It is a 2-persistent number, because it is pandigital, and so is 2⋅539984287365120 = 1079968574730240, but 3⋅539984287365120 = 1619952862095360 is not.

Almost surely, 2^{539984287365120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 539984287365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103821616177280).

539984287365120 is an abundant number, since it is smaller than the sum of its proper divisors (1667658944989440).

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

539984287365120 is an frugal number, since it uses more digits than its factorization.

539984287365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 539984287365120 in words is "five hundred thirty-nine trillion, nine hundred eighty-four billion, two hundred eighty-seven million, three hundred sixty-five thousand, one hundred twenty".