537011205431328 has 288 divisors, whose sum is σ = 1637138777444352. Its totient is φ = 172978673644800.

The previous prime is 537011205431293. The next prime is 537011205431341. The reversal of 537011205431328 is 823134502110735.

537011205431328 is a `hidden beast` number, since 5 + 3 + 7 + 0 + 1 + 1 + 205 + 431 + 3 + 2 + 8 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 164957725 + ... + 168181667.

It is an arithmetic number, because the mean of its divisors is an integer number (5684509643904).

Almost surely, 2^{537011205431328} 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 537011205431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818569388722176).

537011205431328 is an abundant number, since it is smaller than the sum of its proper divisors (1100127572013024).

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

537011205431328 is a wasteful number, since it uses less digits than its factorization.

537011205431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224690 (or 3224670 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 537011205431328 in words is "five hundred thirty-seven trillion, eleven billion, two hundred five million, four hundred thirty-one thousand, three hundred twenty-eight".