5238376284960 has 960 divisors, whose sum is σ = 23487500703744. Its totient is φ = 1069579468800.

The previous prime is 5238376284887. The next prime is 5238376284979. The reversal of 5238376284960 is 694826738325.

It is a happy number.

5238376284960 is a `hidden beast` number, since 5 + 2 + 3 + 83 + 7 + 62 + 8 + 496 + 0 = 666.

It is a super-2 number, since 2×5238376284960² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 36488520 + ... + 36631800.

Almost surely, 2^{5238376284960} 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 5238376284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743750351872).

5238376284960 is an abundant number, since it is smaller than the sum of its proper divisors (18249124418784).

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

5238376284960 is a wasteful number, since it uses less digits than its factorization.

5238376284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143359 (or 143342 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 5238376284960 in words is "five trillion, two hundred thirty-eight billion, three hundred seventy-six million, two hundred eighty-four thousand, nine hundred sixty".