5042686279680 has 720 divisors, whose sum is σ = 20404079055360. Its totient is φ = 1128036040704.

The previous prime is 5042686279669. The next prime is 5042686279691. The reversal of 5042686279680 is 869726862405.

5042686279680 is a `hidden beast` number, since 5 + 0 + 426 + 8 + 62 + 79 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5042686279669) and next prime (5042686279691).

It is a tau number, because it is divible by the number of its divisors (720).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242554726 + ... + 242575514.

It is an arithmetic number, because the mean of its divisors is an integer number (28338998688).

Almost surely, 2^{5042686279680} 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 5042686279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202039527680).

5042686279680 is an abundant number, since it is smaller than the sum of its proper divisors (15361392775680).

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

5042686279680 is a wasteful number, since it uses less digits than its factorization.

5042686279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20882 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5042686279680 in words is "five trillion, forty-two billion, six hundred eighty-six million, two hundred seventy-nine thousand, six hundred eighty".