508712800000 has 108 divisors (see below), whose sum is σ = 1269218811672. Its totient is φ = 203484800000.

The previous prime is 508712799997. The next prime is 508712800009. The reversal of 508712800000 is 8217805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508712800009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482055 + ... + 1117945.

It is an arithmetic number, because the mean of its divisors is an integer number (11752026034).

Almost surely, 2^508712800000 is an apocalyptic number.

508712800000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508712800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634609405836).

508712800000 is an abundant number, since it is smaller than the sum of its proper divisors (760506011672).

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

508712800000 is an frugal number, since it uses more digits than its factorization.

508712800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635932 (or 635898 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 508712800000 in words is "five hundred eight billion, seven hundred twelve million, eight hundred thousand".