500428800000 has 768 divisors, whose sum is σ = 1863532288800. Its totient is φ = 132710400000.

The previous prime is 500428799933. The next prime is 500428800007. The reversal of 500428800000 is 8824005.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500428800007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764799910 + ... + 2764800090.

Almost surely, 2^500428800000 is an apocalyptic number.

500428800000 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 500428800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931766144400).

500428800000 is an abundant number, since it is smaller than the sum of its proper divisors (1363103488800).

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

500428800000 is an frugal number, since it uses more digits than its factorization.

500428800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 500428800000 in words is "five hundred billion, four hundred twenty-eight million, eight hundred thousand".