5107771761444 has 189 divisors, whose sum is σ = 14252805061131. Its totient is φ = 1542340332720.

The previous prime is 5107771761439. The next prime is 5107771761503. The reversal of 5107771761444 is 4441671777015.

The square root of 5107771761444 is 2260038.

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

5107771761444 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 7 + 7 + 17 + 614 + 4 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18048663327 + ... + 18048663609.

Almost surely, 2^{5107771761444} is an apocalyptic number.

5107771761444 is the 2260038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5107771761444

5107771761444 is an abundant number, since it is smaller than the sum of its proper divisors (9145033299687).

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

5107771761444 is an frugal number, since it uses more digits than its factorization.

5107771761444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 5107771761444 in words is "five trillion, one hundred seven billion, seven hundred seventy-one million, seven hundred sixty-one thousand, four hundred forty-four".