5178166418880 has 4480 divisors, whose sum is σ = 25584417492480. Its totient is φ = 963158999040.

The previous prime is 5178166418849. The next prime is 5178166418899. The reversal of 5178166418880 is 888146618715.

5178166418880 is a `hidden beast` number, since 5 + 1 + 7 + 81 + 66 + 418 + 8 + 80 = 666.

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

It is a congruent number.

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 639 ways as a sum of consecutive naturals, for example, 70933786524 + ... + 70933786596.

It is an arithmetic number, because the mean of its divisors is an integer number (5710807476).

Almost surely, 2^{5178166418880} 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 5178166418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792208746240).

5178166418880 is an abundant number, since it is smaller than the sum of its proper divisors (20406251073600).

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

5178166418880 is a wasteful number, since it uses less digits than its factorization.

5178166418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 5178166418880 in words is "five trillion, one hundred seventy-eight billion, one hundred sixty-six million, four hundred eighteen thousand, eight hundred eighty".