5152769246592 has 768 divisors, whose sum is σ = 17339258027520. Its totient is φ = 1453099253760.

The previous prime is 5152769246561. The next prime is 5152769246623. The reversal of 5152769246592 is 2956429672515.

5152769246592 is a `hidden beast` number, since 5 + 1 + 5 + 27 + 69 + 2 + 465 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (5152769246561) and next prime (5152769246623).

It is a super-2 number, since 2×5152769246592² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3972836088 + ... + 3972837384.

It is an arithmetic number, because the mean of its divisors is an integer number (22577158890).

Almost surely, 2^{5152769246592} 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 5152769246592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669629013760).

5152769246592 is an abundant number, since it is smaller than the sum of its proper divisors (12186488780928).

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

5152769246592 is a wasteful number, since it uses less digits than its factorization.

5152769246592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1696 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 5152769246592 in words is "five trillion, one hundred fifty-two billion, seven hundred sixty-nine million, two hundred forty-six thousand, five hundred ninety-two".