504796492800 has 1056 divisors, whose sum is σ = 1958415010560. Its totient is φ = 127166054400.

The previous prime is 504796492771. The next prime is 504796492829. The reversal of 504796492800 is 8294697405.

504796492800 is a `hidden beast` number, since 5 + 0 + 4 + 79 + 6 + 492 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (504796492771) and next prime (504796492829).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1796428660 + ... + 1796428940.

Almost surely, 2^504796492800 is an apocalyptic number.

504796492800 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 504796492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979207505280).

504796492800 is an abundant number, since it is smaller than the sum of its proper divisors (1453618517760).

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

504796492800 is a wasteful number, since it uses less digits than its factorization.

504796492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 504796492800 in words is "five hundred four billion, seven hundred ninety-six million, four hundred ninety-two thousand, eight hundred".