119760783199729 has 243 divisors, whose sum is σ = 156555350808129. Its totient is φ = 91337302788480.

The previous prime is 119760783199721. The next prime is 119760783199819. The reversal of 119760783199729 is 927991387067911.

The square root of 119760783199729 is 10943527.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25487402735025 + 94273380464704 = 5048505^2 + 9709448^2 .

It is not a de Polignac number, because 119760783199729 - 2³ = 119760783199721 is a prime.

It is a super-2 number, since 2×119760783199729² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (119760783199721) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2548101770184 + ... + 2548101770230.

Almost surely, 2^{119760783199729} is an apocalyptic number.

119760783199729 is the 10943527-th square number.

119760783199729 is the 5471764-th centered octagonal number.

It is an amenable number.

119760783199729 is a deficient number, since it is larger than the sum of its proper divisors (36794567608400).

119760783199729 is an frugal number, since it uses more digits than its factorization.

119760783199729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 648121824, while the sum is 79.

The spelling of 119760783199729 in words is "one hundred nineteen trillion, seven hundred sixty billion, seven hundred eighty-three million, one hundred ninety-nine thousand, seven hundred twenty-nine".