538999660800 has 2592 divisors, whose sum is σ = 2366417289600. Its totient is φ = 120394874880.

The previous prime is 538999660777. The next prime is 538999660807. The reversal of 538999660800 is 8066999835.

538999660800 is a `hidden beast` number, since 538 + 9 + 9 + 96 + 6 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is not an unprimeable number, because it can be changed into a prime (538999660807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14567558382 + ... + 14567558418.

Almost surely, 2^538999660800 is an apocalyptic number.

538999660800 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 538999660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183208644800).

538999660800 is an abundant number, since it is smaller than the sum of its proper divisors (1827417628800).

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

538999660800 is a wasteful number, since it uses less digits than its factorization.

538999660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 538999660800 in words is "five hundred thirty-eight billion, nine hundred ninety-nine million, six hundred sixty thousand, eight hundred".