5838909664896 has 288 divisors, whose sum is σ = 21106737069600. Its totient is φ = 1516599659520.

The previous prime is 5838909664871. The next prime is 5838909664921. The reversal of 5838909664896 is 6984669098385.

5838909664896 is a `hidden beast` number, since 5 + 8 + 389 + 0 + 96 + 64 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (5838909664871) and next prime (5838909664921).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2016286 + ... + 3967773.

Almost surely, 2^{5838909664896} is an apocalyptic number.

5838909664896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5838909664896 is an abundant number, since it is smaller than the sum of its proper divisors (15267827404704).

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

5838909664896 is a wasteful number, since it uses less digits than its factorization.

5838909664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984108 (or 5984082 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 81.

The spelling of 5838909664896 in words is "five trillion, eight hundred thirty-eight billion, nine hundred nine million, six hundred sixty-four thousand, eight hundred ninety-six".