500959973376 has 832 divisors, whose sum is σ = 1650645077760. Its totient is φ = 149484994560.

The previous prime is 500959973363. The next prime is 500959973401. The reversal of 500959973376 is 673379959005.

500959973376 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 599 + 7 + 3 + 37 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5164535760 + ... + 5164535856.

Almost surely, 2^500959973376 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 500959973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825322538880).

500959973376 is an abundant number, since it is smaller than the sum of its proper divisors (1149685104384).

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

500959973376 is a wasteful number, since it uses less digits than its factorization.

500959973376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 48223350, while the sum is 63.

The spelling of 500959973376 in words is "five hundred billion, nine hundred fifty-nine million, nine hundred seventy-three thousand, three hundred seventy-six".