5238660006528 has 512 divisors, whose sum is σ = 15917150592000. Its totient is φ = 1513301999616.

The previous prime is 5238660006523. The next prime is 5238660006553. The reversal of 5238660006528 is 8256000668325.

It is a super-2 number, since 2×5238660006528² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5238660006523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7670072875 + ... + 7670073557.

It is an arithmetic number, because the mean of its divisors is an integer number (31088184750).

Almost surely, 2^{5238660006528} 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 5238660006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958575296000).

5238660006528 is an abundant number, since it is smaller than the sum of its proper divisors (10678490585472).

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

5238660006528 is a wasteful number, since it uses less digits than its factorization.

5238660006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 5238660006528 in words is "five trillion, two hundred thirty-eight billion, six hundred sixty million, six thousand, five hundred twenty-eight".