500257370040480 has 960 divisors, whose sum is σ = 1948634383737888. Its totient is φ = 120077484687360.

The previous prime is 500257370040473. The next prime is 500257370040481. The reversal of 500257370040480 is 84040073752005.

500257370040480 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 573 + 70 + 0 + 4 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 191962909284624 + 308294460755856 = 13855068^2 + 17558316^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (500257370040481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14872218222 + ... + 14872251858.

Almost surely, 2^{500257370040480} 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 500257370040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974317191868944).

500257370040480 is an abundant number, since it is smaller than the sum of its proper divisors (1448377013697408).

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

500257370040480 is a wasteful number, since it uses less digits than its factorization.

500257370040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35871 (or 35854 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 500257370040480 in words is "five hundred trillion, two hundred fifty-seven billion, three hundred seventy million, forty thousand, four hundred eighty".