504352936078992 has 2560 divisors, whose sum is σ = 2038961498112000. Its totient is φ = 115127599104000.

The previous prime is 504352936078987. The next prime is 504352936079119. The reversal of 504352936078992 is 299870639253405.

504352936078992 is a `hidden beast` number, since 5 + 0 + 4 + 3 + 5 + 2 + 9 + 3 + 607 + 8 + 9 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 504352936078992.

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 511 ways as a sum of consecutive naturals, for example, 329427129267 + ... + 329427130797.

It is an arithmetic number, because the mean of its divisors is an integer number (796469335200).

Almost surely, 2^{504352936078992} is an apocalyptic number.

504352936078992 is a gapful number since it is divisible by the number (52) 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 504352936078992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019480749056000).

504352936078992 is an abundant number, since it is smaller than the sum of its proper divisors (1534608562033008).

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

504352936078992 is a wasteful number, since it uses less digits than its factorization.

504352936078992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 504352936078992 in words is "five hundred four trillion, three hundred fifty-two billion, nine hundred thirty-six million, seventy-eight thousand, nine hundred ninety-two".