58089742848 has 120 divisors (see below), whose sum is σ = 168105371148. Its totient is φ = 19310764032.

The previous prime is 58089742807. The next prime is 58089742969. The reversal of 58089742848 is 84824798085.

58089742848 is a `hidden beast` number, since 5 + 80 + 8 + 97 + 428 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58038591744 + 51151104 = 240912^2 + 7152^2 .

It is a super-2 number, since 2×58089742848² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701886 + ... + 1735682.

Almost surely, 2^58089742848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58089742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84052685574).

58089742848 is an abundant number, since it is smaller than the sum of its proper divisors (110015628300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58089742848 is a wasteful number, since it uses less digits than its factorization.

58089742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34194 (or 34175 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 58089742848 in words is "fifty-eight billion, eighty-nine million, seven hundred forty-two thousand, eight hundred forty-eight".