508081253137920 has 720 divisors, whose sum is σ = 2232997720235568. Its totient is φ = 105575322746880.

The previous prime is 508081253137877. The next prime is 508081253137921. The reversal of 508081253137920 is 29731352180805.

508081253137920 is a `hidden beast` number, since 5 + 0 + 8 + 0 + 8 + 12 + 531 + 3 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508081253137921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8037969 + ... + 32875088.

Almost surely, 2^{508081253137920} 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 508081253137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116498860117784).

508081253137920 is an abundant number, since it is smaller than the sum of its proper divisors (1724916467097648).

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

508081253137920 is a wasteful number, since it uses less digits than its factorization.

508081253137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40913111 (or 40913085 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 508081253137920 in words is "five hundred eight trillion, eighty-one billion, two hundred fifty-three million, one hundred thirty-seven thousand, nine hundred twenty".