5016788622144 has 504 divisors, whose sum is σ = 15808584722112. Its totient is φ = 1520248504320.

The previous prime is 5016788622119. The next prime is 5016788622179. The reversal of 5016788622144 is 4412268876105.

5016788622144 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 7 + 8 + 8 + 622 + 1 + 4 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1836977259 + ... + 1836979989.

It is an arithmetic number, because the mean of its divisors is an integer number (31366239528).

Almost surely, 2^{5016788622144} 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 5016788622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904292361056).

5016788622144 is an abundant number, since it is smaller than the sum of its proper divisors (10791796099968).

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

5016788622144 is a wasteful number, since it uses less digits than its factorization.

5016788622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 5016788622144 in words is "five trillion, sixteen billion, seven hundred eighty-eight million, six hundred twenty-two thousand, one hundred forty-four".