508373712000 has 4096 divisors, whose sum is σ = 2639609856000. Its totient is φ = 92897280000.

The previous prime is 508373711959. The next prime is 508373712107. The reversal of 508373712000 is 217373805.

508373712000 is a `hidden beast` number, since 5 + 0 + 83 + 7 + 371 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16399151985 + ... + 16399152015.

It is an arithmetic number, because the mean of its divisors is an integer number (644436000).

Almost surely, 2^508373712000 is an apocalyptic number.

508373712000 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 508373712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319804928000).

508373712000 is an abundant number, since it is smaller than the sum of its proper divisors (2131236144000).

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

508373712000 is a wasteful number, since it uses less digits than its factorization.

508373712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 508373712000 in words is "five hundred eight billion, three hundred seventy-three million, seven hundred twelve thousand".