506680918368000 has 576 divisors, whose sum is σ = 1794944813171328. Its totient is φ = 126238693785600.

The previous prime is 506680918367977. The next prime is 506680918368091. The reversal of 506680918368000 is 863819086605.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222450912 + ... + 224717088.

It is an arithmetic number, because the mean of its divisors is an integer number (3116223633978).

Almost surely, 2^{506680918368000} is an apocalyptic number.

506680918368000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506680918368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897472406585664).

506680918368000 is an abundant number, since it is smaller than the sum of its proper divisors (1288263894803328).

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

506680918368000 is a wasteful number, since it uses less digits than its factorization.

506680918368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266365 (or 2266341 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 506680918368000 in words is "five hundred six trillion, six hundred eighty billion, nine hundred eighteen million, three hundred sixty-eight thousand".