5165704610352 has 1920 divisors, whose sum is σ = 19322795261952. Its totient is φ = 1313011814400.

The previous prime is 5165704610347. The next prime is 5165704610359. The reversal of 5165704610352 is 2530164075615.

5165704610352 is a `hidden beast` number, since 5 + 1 + 6 + 570 + 46 + 1 + 0 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5165704610298 and 5165704610307.

It is not an unprimeable number, because it can be changed into a prime (5165704610359) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32902577058 + ... + 32902577214.

Almost surely, 2^{5165704610352} is an apocalyptic number.

5165704610352 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 5165704610352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661397630976).

5165704610352 is an abundant number, since it is smaller than the sum of its proper divisors (14157090651600).

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

5165704610352 is a wasteful number, since it uses less digits than its factorization.

5165704610352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

Adding to 5165704610352 its reverse (2530164075615), we get a palindrome (7695868685967).

The spelling of 5165704610352 in words is "five trillion, one hundred sixty-five billion, seven hundred four million, six hundred ten thousand, three hundred fifty-two".