508086231120 has 1120 divisors, whose sum is σ = 2049243840000. Its totient is φ = 115987562496.

The previous prime is 508086231083. The next prime is 508086231127. The reversal of 508086231120 is 21132680805.

It is a happy number.

508086231120 is a `hidden beast` number, since 5 + 0 + 8 + 0 + 8 + 623 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508086231127) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1018208631 + ... + 1018209129.

It is an arithmetic number, because the mean of its divisors is an integer number (1829682000).

Almost surely, 2^508086231120 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 508086231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024621920000).

508086231120 is an abundant number, since it is smaller than the sum of its proper divisors (1541157608880).

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

508086231120 is a wasteful number, since it uses less digits than its factorization.

508086231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 508086231120 in words is "five hundred eight billion, eighty-six million, two hundred thirty-one thousand, one hundred twenty".