58648286080 has 128 divisors (see below), whose sum is σ = 141557925600. Its totient is φ = 23234273280.

The previous prime is 58648286057. The next prime is 58648286083. The reversal of 58648286080 is 8068284685.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58648286083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32781826 + ... + 32783614.

Almost surely, 2^58648286080 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 58648286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70778962800).

58648286080 is an abundant number, since it is smaller than the sum of its proper divisors (82909639520).

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

58648286080 is a wasteful number, since it uses less digits than its factorization.

58648286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The spelling of 58648286080 in words is "fifty-eight billion, six hundred forty-eight million, two hundred eighty-six thousand, eighty".