5128161790752 has 1296 divisors, whose sum is σ = 20454915604032. Its totient is φ = 1228874250240.

The previous prime is 5128161790751. The next prime is 5128161790799. The reversal of 5128161790752 is 2570971618215.

5128161790752 is a `hidden beast` number, since 5 + 12 + 8 + 1 + 617 + 9 + 0 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5128161790751) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2732104438 + ... + 2732106314.

It is an arithmetic number, because the mean of its divisors is an integer number (15783113892).

Almost surely, 2^{5128161790752} is an apocalyptic number.

5128161790752 is a gapful number since it is divisible by the number (52) 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 5128161790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10227457802016).

5128161790752 is an abundant number, since it is smaller than the sum of its proper divisors (15326753813280).

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

5128161790752 is a wasteful number, since it uses less digits than its factorization.

5128161790752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 5128161790752 in words is "five trillion, one hundred twenty-eight billion, one hundred sixty-one million, seven hundred ninety thousand, seven hundred fifty-two".