538821252160 has 224 divisors, whose sum is σ = 1351637733600. Its totient is φ = 204382863360.

The previous prime is 538821252157. The next prime is 538821252169. The reversal of 538821252160 is 61252128835.

It can be written as a sum of positive squares in 16 ways, for example, as 238894157824 + 299927094336 = 488768^2 + 547656^2 .

It is not an unprimeable number, because it can be changed into a prime (538821252169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75790686 + ... + 75797794.

It is an arithmetic number, because the mean of its divisors is an integer number (6034097025).

Almost surely, 2^538821252160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538821252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675818866800).

538821252160 is an abundant number, since it is smaller than the sum of its proper divisors (812816481440).

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

538821252160 is a wasteful number, since it uses less digits than its factorization.

538821252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 538821252160 in words is "five hundred thirty-eight billion, eight hundred twenty-one million, two hundred fifty-two thousand, one hundred sixty".