5168267724928 has 512 divisors, whose sum is σ = 13334852136960. Its totient is φ = 1937295360000.

The previous prime is 5168267724889. The next prime is 5168267724929. The reversal of 5168267724928 is 8294277628615.

Its product of digits (162570240) is a multiple of the sum of its prime divisors (896).

It is not an unprimeable number, because it can be changed into a prime (5168267724929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12276170158 + ... + 12276170578.

It is an arithmetic number, because the mean of its divisors is an integer number (26044633080).

Almost surely, 2^{5168267724928} 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 5168267724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667426068480).

5168267724928 is an abundant number, since it is smaller than the sum of its proper divisors (8166584412032).

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

5168267724928 is a wasteful number, since it uses less digits than its factorization.

5168267724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 67.

The spelling of 5168267724928 in words is "five trillion, one hundred sixty-eight billion, two hundred sixty-seven million, seven hundred twenty-four thousand, nine hundred twenty-eight".