58953046768 has 160 divisors (see below), whose sum is σ = 146433484800. Its totient is φ = 22325882880.

The previous prime is 58953046751. The next prime is 58953046829. The reversal of 58953046768 is 86764035985.

58953046768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8624280 + ... + 8631112.

It is an arithmetic number, because the mean of its divisors is an integer number (915209280).

Almost surely, 2^58953046768 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 58953046768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73216742400).

58953046768 is an abundant number, since it is smaller than the sum of its proper divisors (87480438032).

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

58953046768 is a wasteful number, since it uses less digits than its factorization.

58953046768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 58953046768 in words is "fifty-eight billion, nine hundred fifty-three million, forty-six thousand, seven hundred sixty-eight".