506873806107408 has 180 divisors, whose sum is σ = 1523821206736140. Its totient is φ = 163131798686976.

The previous prime is 506873806107337. The next prime is 506873806107413. The reversal of 506873806107408 is 804701608378605.

506873806107408 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 7 + 3 + 8 + 0 + 610 + 7 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 414100847883024 + 92772958224384 = 20349468^2 + 9631872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80205235 + ... + 86293842.

Almost surely, 2^{506873806107408} is an apocalyptic number.

506873806107408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

506873806107408 is an abundant number, since it is smaller than the sum of its proper divisors (1016947400628732).

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

506873806107408 is an equidigital number, since it uses as much as digits as its factorization.

506873806107408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166499138 (or 166499111 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 506873806107408 in words is "five hundred six trillion, eight hundred seventy-three billion, eight hundred six million, one hundred seven thousand, four hundred eight".