5106768353856 has 189 divisors, whose sum is σ = 15852402768969. Its totient is φ = 1571096397312.

The previous prime is 5106768353767. The next prime is 5106768353867. The reversal of 5106768353856 is 6583538676015.

It is a happy number.

The square root of 5106768353856 is 2259816.

It is a perfect power (a square), and thus also a powerful number.

5106768353856 is a `hidden beast` number, since 5 + 10 + 6 + 7 + 6 + 83 + 538 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 755439105600 + 4351329248256 = 869160^2 + 2085984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5106768353793 and 5106768353802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 705058971 + ... + 705066213.

Almost surely, 2^{5106768353856} is an apocalyptic number.

5106768353856 is the 2259816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106768353856

5106768353856 is an abundant number, since it is smaller than the sum of its proper divisors (10745634415113).

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

5106768353856 is an frugal number, since it uses more digits than its factorization.

5106768353856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14530 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5106768353856 in words is "five trillion, one hundred six billion, seven hundred sixty-eight million, three hundred fifty-three thousand, eight hundred fifty-six".