5164760506752 has 1344 divisors, whose sum is σ = 20257519035600. Its totient is φ = 1294871961600.

The previous prime is 5164760506733. The next prime is 5164760506753. The reversal of 5164760506752 is 2576050674615.

It is a happy number.

5164760506752 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 7 + 60 + 506 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164760506753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1458558102 + ... + 1458561642.

Almost surely, 2^{5164760506752} 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 5164760506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128759517800).

5164760506752 is an abundant number, since it is smaller than the sum of its proper divisors (15092758528848).

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

5164760506752 is a wasteful number, since it uses less digits than its factorization.

5164760506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 5164760506752 in words is "five trillion, one hundred sixty-four billion, seven hundred sixty million, five hundred six thousand, seven hundred fifty-two".