503957647680 has 448 divisors, whose sum is σ = 1759795718400. Its totient is φ = 121695436800.

The previous prime is 503957647649. The next prime is 503957647693. The reversal of 503957647680 is 86746759305.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53420244 + ... + 53429676.

Almost surely, 2^503957647680 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 503957647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879897859200).

503957647680 is an abundant number, since it is smaller than the sum of its proper divisors (1255838070720).

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

503957647680 is a wasteful number, since it uses less digits than its factorization.

503957647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 503957647680 in words is "five hundred three billion, nine hundred fifty-seven million, six hundred forty-seven thousand, six hundred eighty".