58257779608 has 128 divisors (see below), whose sum is σ = 132912691200. Its totient is φ = 23405760000.

The previous prime is 58257779581. The next prime is 58257779639. The reversal of 58257779608 is 80697775285.

It is a happy number.

58257779608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58257779608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45125443 + ... + 45126733.

It is an arithmetic number, because the mean of its divisors is an integer number (1038380400).

Almost surely, 2^58257779608 is an apocalyptic number.

58257779608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58257779608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456345600).

58257779608 is an abundant number, since it is smaller than the sum of its proper divisors (74654911592).

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

58257779608 is a wasteful number, since it uses less digits than its factorization.

58257779608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 64.

It can be divided in two parts, 5825777 and 9608, that added together give a palindrome (5835385).

The spelling of 58257779608 in words is "fifty-eight billion, two hundred fifty-seven million, seven hundred seventy-nine thousand, six hundred eight".