506287268838720 has 896 divisors, whose sum is σ = 1854751941918720. Its totient is φ = 131553343309824.

The previous prime is 506287268838653. The next prime is 506287268838739. The reversal of 506287268838720 is 27838862782605.

506287268838720 is a `hidden beast` number, since 5 + 0 + 6 + 287 + 268 + 8 + 3 + 87 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7466559057 + ... + 7466626863.

Almost surely, 2^{506287268838720} 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 506287268838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927375970959360).

506287268838720 is an abundant number, since it is smaller than the sum of its proper divisors (1348464673080000).

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

506287268838720 is an equidigital number, since it uses as much as digits as its factorization.

506287268838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68119 (or 68091 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 506287268838720 in words is "five hundred six trillion, two hundred eighty-seven billion, two hundred sixty-eight million, eight hundred thirty-eight thousand, seven hundred twenty".