503958343680 has 832 divisors, whose sum is σ = 2022613459200. Its totient is φ = 117917614080.

The previous prime is 503958343627. The next prime is 503958343717. The reversal of 503958343680 is 86343859305.

It is a happy number.

503958343680 is a `hidden beast` number, since 50 + 3 + 9 + 5 + 83 + 436 + 80 = 666.

It is a super-3 number, since 3×503958343680³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176392812 + ... + 176395668.

Almost surely, 2^503958343680 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 503958343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011306729600).

503958343680 is an abundant number, since it is smaller than the sum of its proper divisors (1518655115520).

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

503958343680 is a wasteful number, since it uses less digits than its factorization.

503958343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 503958343680 in words is "five hundred three billion, nine hundred fifty-eight million, three hundred forty-three thousand, six hundred eighty".