504774893846160 has 1440 divisors, whose sum is σ = 2116324095874560. Its totient is φ = 107123625197568.

The previous prime is 504774893846137. The next prime is 504774893846183. The reversal of 504774893846160 is 61648398477405.

504774893846160 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 7 + 4 + 89 + 384 + 6 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (504774893846137) and next prime (504774893846183).

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

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 287 ways as a sum of consecutive naturals, for example, 16246883106 + ... + 16246914174.

It is an arithmetic number, because the mean of its divisors is an integer number (1469669511024).

Almost surely, 2^{504774893846160} 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 504774893846160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058162047937280).

504774893846160 is an abundant number, since it is smaller than the sum of its proper divisors (1611549202028400).

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

504774893846160 is a wasteful number, since it uses less digits than its factorization.

504774893846160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31485 (or 31469 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 504774893846160 in words is "five hundred four trillion, seven hundred seventy-four billion, eight hundred ninety-three million, eight hundred forty-six thousand, one hundred sixty".