538497075525120 has 960 divisors, whose sum is σ = 2020546744856640. Its totient is φ = 137274310656000.

The previous prime is 538497075525109. The next prime is 538497075525139. The reversal of 538497075525120 is 21525570794835.

538497075525120 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 9 + 7 + 0 + 7 + 552 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1821924550 + ... + 1822220090.

It is an arithmetic number, because the mean of its divisors is an integer number (2104736192559).

Almost surely, 2^{538497075525120} 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 538497075525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010273372428320).

538497075525120 is an abundant number, since it is smaller than the sum of its proper divisors (1482049669331520).

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

538497075525120 is a wasteful number, since it uses less digits than its factorization.

538497075525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295709 (or 295681 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 538497075525120 in words is "five hundred thirty-eight trillion, four hundred ninety-seven billion, seventy-five million, five hundred twenty-five thousand, one hundred twenty".