58259643468 has 96 divisors (see below), whose sum is σ = 149287320000. Its totient is φ = 17572598784.

The previous prime is 58259643461. The next prime is 58259643473. The reversal of 58259643468 is 86434695285.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (58259643461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12804858 + ... + 12809406.

It is an arithmetic number, because the mean of its divisors is an integer number (1555076250).

Almost surely, 2^58259643468 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 58259643468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643660000).

58259643468 is an abundant number, since it is smaller than the sum of its proper divisors (91027676532).

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

58259643468 is a wasteful number, since it uses less digits than its factorization.

58259643468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6169 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 58259643468 in words is "fifty-eight billion, two hundred fifty-nine million, six hundred forty-three thousand, four hundred sixty-eight".