503959968000 has 720 divisors, whose sum is σ = 1985882122224. Its totient is φ = 126473011200.

The previous prime is 503959967977. The next prime is 503959968041. The reversal of 503959968000 is 869959305.

503959968000 is a `hidden beast` number, since 503 + 9 + 59 + 9 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 143210778624 + 360749189376 = 378432^2 + 600624^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×503959968000² (a number of 24 digits) contains 22 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 79 ways as a sum of consecutive naturals, for example, 44058282 + ... + 44069718.

Almost surely, 2^503959968000 is an apocalyptic number.

503959968000 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 503959968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992941061112).

503959968000 is an abundant number, since it is smaller than the sum of its proper divisors (1481922154224).

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

503959968000 is a wasteful number, since it uses less digits than its factorization.

503959968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11497 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 503959968000 in words is "five hundred three billion, nine hundred fifty-nine million, nine hundred sixty-eight thousand".