500952883200 has 672 divisors, whose sum is σ = 2065296026880. Its totient is φ = 104084275200.

The previous prime is 500952883187. The next prime is 500952883267. The reversal of 500952883200 is 2388259005.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47303506 + ... + 47314094.

Almost surely, 2^500952883200 is an apocalyptic number.

500952883200 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 500952883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032648013440).

500952883200 is an abundant number, since it is smaller than the sum of its proper divisors (1564343143680).

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

500952883200 is a wasteful number, since it uses less digits than its factorization.

500952883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 500952883200 in words is "five hundred billion, nine hundred fifty-two million, eight hundred eighty-three thousand, two hundred".