538390482739200 has 4032 divisors, whose sum is σ = 2591433602634240. Its totient is φ = 107598619607040.

The previous prime is 538390482739177. The next prime is 538390482739211. The reversal of 538390482739200 is 2937284093835.

538390482739200 is a `hidden beast` number, since 5 + 3 + 8 + 390 + 4 + 8 + 2 + 7 + 39 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86046102472 + ... + 86046108728.

It is an arithmetic number, because the mean of its divisors is an integer number (642716667320).

Almost surely, 2^{538390482739200} is an apocalyptic number.

538390482739200 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 538390482739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295716801317120).

538390482739200 is an abundant number, since it is smaller than the sum of its proper divisors (2053043119895040).

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

538390482739200 is a wasteful number, since it uses less digits than its factorization.

538390482739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 538390482739200 in words is "five hundred thirty-eight trillion, three hundred ninety billion, four hundred eighty-two million, seven hundred thirty-nine thousand, two hundred".