500250828240 has 480 divisors, whose sum is σ = 1845765792000. Its totient is φ = 120930582528.

The previous prime is 500250828169. The next prime is 500250828251. The reversal of 500250828240 is 42828052005.

500250828240 is a `hidden beast` number, since 500 + 2 + 50 + 82 + 8 + 24 + 0 = 666.

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 = 500250828195 and 500250828204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44823781 + ... + 44834939.

It is an arithmetic number, because the mean of its divisors is an integer number (3845345400).

Almost surely, 2^500250828240 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 500250828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922882896000).

500250828240 is an abundant number, since it is smaller than the sum of its proper divisors (1345514963760).

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

500250828240 is a wasteful number, since it uses less digits than its factorization.

500250828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 500250828240 in words is "five hundred billion, two hundred fifty million, eight hundred twenty-eight thousand, two hundred forty".