538431748800 has 336 divisors, whose sum is σ = 1963466687232. Its totient is φ = 128065433600.

The previous prime is 538431748793. The next prime is 538431748807. The reversal of 538431748800 is 8847134835.

It is an interprime number because it is at equal distance from previous prime (538431748793) and next prime (538431748807).

It is not an unprimeable number, because it can be changed into a prime (538431748807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2702197 + ... + 2894603.

Almost surely, 2^538431748800 is an apocalyptic number.

538431748800 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 538431748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981733343616).

538431748800 is an abundant number, since it is smaller than the sum of its proper divisors (1425034938432).

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

538431748800 is a wasteful number, since it uses less digits than its factorization.

538431748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192496 (or 192481 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 538431748800 in words is "five hundred thirty-eight billion, four hundred thirty-one million, seven hundred forty-eight thousand, eight hundred".