58791215961 has 45 divisors (see below), whose sum is σ = 91054767661. Its totient is φ = 37801886976.

The previous prime is 58791215941. The next prime is 58791215969. The reversal of 58791215961 is 16951219785.

It is a happy number.

The square root of 58791215961 is 242469.

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

58791215961 is a `hidden beast` number, since 587 + 9 + 1 + 2 + 1 + 59 + 6 + 1 = 666.

58791215961 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 4 ways, for example, as 19942805961 + 38848410000 = 141219^2 + 197100^2 .

It is not a de Polignac number, because 58791215961 - 2¹¹ = 58791213913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58791215898 and 58791215907.

It is not an unprimeable number, because it can be changed into a prime (58791215969) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63283945 + ... + 63284873.

Almost surely, 2^58791215961 is an apocalyptic number.

58791215961 is the 242469-th square number.

58791215961 is the 121235-th centered octagonal number.

It is an amenable number.

58791215961 is a deficient number, since it is larger than the sum of its proper divisors (32263551700).

58791215961 is an frugal number, since it uses more digits than its factorization.

58791215961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 961 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 54.

The spelling of 58791215961 in words is "fifty-eight billion, seven hundred ninety-one million, two hundred fifteen thousand, nine hundred sixty-one".