58779561569089 has 9 divisors (see below), whose sum is σ = 59392535027427. Its totient is φ = 58172850696384.

The previous prime is 58779561569033. The next prime is 58779561569101. The reversal of 58779561569089 is 98096516597785.

It is a happy number.

The square root of 58779561569089 is 7666783.

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

It can be written as a sum of positive squares in only one way, i.e., 26394265876225 + 32385295692864 = 5137535^2 + 5690808^2 .

It is not a de Polignac number, because 58779561569089 - 2¹³ = 58779561560897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58779561568997 and 58779561569015.

It is not an unprimeable number, because it can be changed into a prime (58779591569089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 743638432 + ... + 743717470.

It is an arithmetic number, because the mean of its divisors is an integer number (6599170558603).

Almost surely, 2^{58779561569089} is an apocalyptic number.

58779561569089 is the 7666783-rd square number.

58779561569089 is the 3833392-nd centered octagonal number.

It is an amenable number.

58779561569089 is a deficient number, since it is larger than the sum of its proper divisors (612973458338).

58779561569089 is an frugal number, since it uses more digits than its factorization.

58779561569089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158272 (or 79136 counting only the distinct ones).

The product of its (nonzero) digits is 10287648000, while the sum is 85.

The spelling of 58779561569089 in words is "fifty-eight trillion, seven hundred seventy-nine billion, five hundred sixty-one million, five hundred sixty-nine thousand, eighty-nine".