5158984089600 has 2592 divisors, whose sum is σ = 22717605980160. Its totient is φ = 1146617856000.

The previous prime is 5158984089551. The next prime is 5158984089617. The reversal of 5158984089600 is 69804898515.

5158984089600 is a `hidden beast` number, since 5 + 1 + 58 + 98 + 408 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166418841585 + ... + 166418841615.

It is an arithmetic number, because the mean of its divisors is an integer number (8764508480).

Almost surely, 2^{5158984089600} is an apocalyptic number.

5158984089600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158984089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358802990080).

5158984089600 is an abundant number, since it is smaller than the sum of its proper divisors (17558621890560).

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

5158984089600 is an equidigital number, since it uses as much as digits as its factorization.

5158984089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 5158984089600 in words is "five trillion, one hundred fifty-eight billion, nine hundred eighty-four million, eighty-nine thousand, six hundred".