506800986064560 has 1920 divisors, whose sum is σ = 2051583690240000. Its totient is φ = 114504483962880.

The previous prime is 506800986064489. The next prime is 506800986064601. The reversal of 506800986064560 is 65460689008605.

506800986064560 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 0 + 0 + 9 + 8 + 6 + 0 + 64 + 560 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 202477420269 + ... + 202477422771.

It is an arithmetic number, because the mean of its divisors is an integer number (1068533172000).

Almost surely, 2^{506800986064560} 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 506800986064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025791845120000).

506800986064560 is an abundant number, since it is smaller than the sum of its proper divisors (1544782704175440).

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

506800986064560 is a wasteful number, since it uses less digits than its factorization.

506800986064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 506800986064560 in words is "five hundred six trillion, eight hundred billion, nine hundred eighty-six million, sixty-four thousand, five hundred sixty".