500972707248 has 320 divisors, whose sum is σ = 1484374993920. Its totient is φ = 144322560000.

The previous prime is 500972707217. The next prime is 500972707253. The reversal of 500972707248 is 842707279005.

It is a self number, because there is not a number n which added to its sum of digits gives 500972707248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417129048 + ... + 417130248.

It is an arithmetic number, because the mean of its divisors is an integer number (4638671856).

Almost surely, 2^500972707248 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 500972707248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742187496960).

500972707248 is an abundant number, since it is smaller than the sum of its proper divisors (983402286672).

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

500972707248 is a wasteful number, since it uses less digits than its factorization.

500972707248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 500972707248 in words is "five hundred billion, nine hundred seventy-two million, seven hundred seven thousand, two hundred forty-eight".