504876795879456 has 3072 divisors, whose sum is σ = 2166354660556800. Its totient is φ = 110965510656000.

The previous prime is 504876795879439. The next prime is 504876795879527. The reversal of 504876795879456 is 654978597678405.

504876795879456 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 7 + 6 + 79 + 5 + 87 + 9 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61637988321 + ... + 61637996511.

It is an arithmetic number, because the mean of its divisors is an integer number (705193574400).

Almost surely, 2^{504876795879456} is an apocalyptic number.

504876795879456 is a gapful number since it is divisible by the number (56) 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 504876795879456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083177330278400).

504876795879456 is an abundant number, since it is smaller than the sum of its proper divisors (1661477864677344).

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

504876795879456 is a wasteful number, since it uses less digits than its factorization.

504876795879456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 128024064000, while the sum is 90.

The spelling of 504876795879456 in words is "five hundred four trillion, eight hundred seventy-six billion, seven hundred ninety-five million, eight hundred seventy-nine thousand, four hundred fifty-six".