503412972192 has 576 divisors, whose sum is σ = 1701406788480. Its totient is φ = 143456624640.

The previous prime is 503412972173. The next prime is 503412972211. The reversal of 503412972192 is 291279214305.

503412972192 is a `hidden beast` number, since 5 + 0 + 341 + 2 + 97 + 219 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (503412972173) and next prime (503412972211).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962548443 + ... + 962548965.

It is an arithmetic number, because the mean of its divisors is an integer number (2953831230).

Almost surely, 2^503412972192 is an apocalyptic number.

503412972192 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 503412972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850703394240).

503412972192 is an abundant number, since it is smaller than the sum of its proper divisors (1197993816288).

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

503412972192 is a wasteful number, since it uses less digits than its factorization.

503412972192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 503412972192 in words is "five hundred three billion, four hundred twelve million, nine hundred seventy-two thousand, one hundred ninety-two".