538793985600 has 588 divisors, whose sum is σ = 2140709372116. Its totient is φ = 132622479360.

The previous prime is 538793985593. The next prime is 538793985679. The reversal of 538793985600 is 6589397835.

538793985600 is a `hidden beast` number, since 5 + 38 + 7 + 9 + 39 + 8 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 182356329024 + 356437656576 = 427032^2 + 597024^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15145434 + ... + 15180966.

Almost surely, 2^538793985600 is an apocalyptic number.

538793985600 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 538793985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070354686058).

538793985600 is an abundant number, since it is smaller than the sum of its proper divisors (1601915386516).

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

538793985600 is a wasteful number, since it uses less digits than its factorization.

538793985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35586 (or 35556 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 538793985600 in words is "five hundred thirty-eight billion, seven hundred ninety-three million, nine hundred eighty-five thousand, six hundred".