58077626049 has 15 divisors (see below), whose sum is σ = 86761175347. Its totient is φ = 38716971408.

The previous prime is 58077626029. The next prime is 58077626063. The reversal of 58077626049 is 94062677085.

The square root of 58077626049 is 240993.

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

58077626049 is a `hidden beast` number, since 5 + 8 + 0 + 7 + 7 + 626 + 0 + 4 + 9 = 666.

58077626049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8452044225 + 49625581824 = 91935^2 + 222768^2 .

It is not a de Polignac number, because 58077626049 - 2²⁹ = 57540755137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58077625986 and 58077626004.

It is not an unprimeable number, because it can be changed into a prime (58077626029) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2155549 + ... + 2182325.

Almost surely, 2^58077626049 is an apocalyptic number.

58077626049 is the 240993-rd square number.

58077626049 is the 120497-th centered octagonal number.

It is an amenable number.

58077626049 is a deficient number, since it is larger than the sum of its proper divisors (28683549298).

58077626049 is an frugal number, since it uses more digits than its factorization.

58077626049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53566 (or 26780 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 58077626049 in words is "fifty-eight billion, seventy-seven million, six hundred twenty-six thousand, forty-nine".