538138560960 has 2016 divisors, whose sum is σ = 2543602134528. Its totient is φ = 101386321920.

The previous prime is 538138560901. The next prime is 538138561033. The reversal of 538138560960 is 69065831835.

538138560960 is a `hidden beast` number, since 5 + 3 + 8 + 13 + 8 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×538138560960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 538138560897 and 538138560906.

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, 3110627434 + ... + 3110627606.

It is an arithmetic number, because the mean of its divisors is an integer number (1261707408).

Almost surely, 2^538138560960 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 538138560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271801067264).

538138560960 is an abundant number, since it is smaller than the sum of its proper divisors (2005463573568).

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

538138560960 is a wasteful number, since it uses less digits than its factorization.

538138560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 538138560960 in words is "five hundred thirty-eight billion, one hundred thirty-eight million, five hundred sixty thousand, nine hundred sixty".