538805875829760 has 5940 divisors, whose sum is σ = 2609813750233536. Its totient is φ = 105892308910080.

The previous prime is 538805875829743. The next prime is 538805875829761. The reversal of 538805875829760 is 67928578508835.

538805875829760 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 0 + 587 + 5 + 8 + 29 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5940).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 538805875829760.

It is not an unprimeable number, because it can be changed into a prime (538805875829761) by changing a digit.

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 539 ways as a sum of consecutive naturals, for example, 887653831377 + ... + 887653831983.

Almost surely, 2^{538805875829760} 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 538805875829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304906875116768).

538805875829760 is an abundant number, since it is smaller than the sum of its proper divisors (2071007874403776).

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

538805875829760 is a wasteful number, since it uses less digits than its factorization.

538805875829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 8128512000, while the sum is 81.

The spelling of 538805875829760 in words is "five hundred thirty-eight trillion, eight hundred five billion, eight hundred seventy-five million, eight hundred twenty-nine thousand, seven hundred sixty".