79758420593049 has 81 divisors (see below), whose sum is σ = 127221077932221. Its totient is φ = 48114631952640.

The previous prime is 79758420593041. The next prime is 79758420593053. The reversal of 79758420593049 is 94039502485797.

The square root of 79758420593049 is 8930757.

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

79758420593049 is a `hidden beast` number, since 7 + 9 + 7 + 5 + 8 + 4 + 20 + 593 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2322292544649 + 77436128048400 = 1523907^2 + 8799780^2 .

It is not a de Polignac number, because 79758420593049 - 2³ = 79758420593041 is a prime.

It is a super-2 number, since 2×79758420593049² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79758420593041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81636049249 + ... + 81636050225.

Almost surely, 2^{79758420593049} is an apocalyptic number.

79758420593049 is the 8930757-th square number.

79758420593049 is the 4465379-th centered octagonal number.

It is an amenable number.

79758420593049 is a deficient number, since it is larger than the sum of its proper divisors (47462657339172).

79758420593049 is an frugal number, since it uses more digits than its factorization.

79758420593049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 79758420593049 in words is "seventy-nine trillion, seven hundred fifty-eight billion, four hundred twenty million, five hundred ninety-three thousand, forty-nine".