500420125728 has 144 divisors (see below), whose sum is σ = 1511537653080. Its totient is φ = 156498812928.

The previous prime is 500420125697. The next prime is 500420125729. The reversal of 500420125728 is 827521024005.

It is a happy number.

500420125728 is a `hidden beast` number, since 50 + 0 + 4 + 20 + 12 + 572 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192275234064 + 308144891664 = 438492^2 + 555108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 500420125692 and 500420125701.

It is not an unprimeable number, because it can be changed into a prime (500420125729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390818 + ... + 1713246.

Almost surely, 2^500420125728 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 500420125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755768826540).

500420125728 is an abundant number, since it is smaller than the sum of its proper divisors (1011117527352).

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

500420125728 is a wasteful number, since it uses less digits than its factorization.

500420125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322779 (or 322768 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 500420125728 in words is "five hundred billion, four hundred twenty million, one hundred twenty-five thousand, seven hundred twenty-eight".