58455946080 has 768 divisors, whose sum is σ = 243762462720. Its totient is φ = 12802406400.

The previous prime is 58455946061. The next prime is 58455946097. The reversal of 58455946080 is 8064955485.

58455946080 is a `hidden beast` number, since 5 + 8 + 4 + 559 + 4 + 6 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119054635 + ... + 119055125.

It is an arithmetic number, because the mean of its divisors is an integer number (317399040).

Almost surely, 2^58455946080 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 58455946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121881231360).

58455946080 is an abundant number, since it is smaller than the sum of its proper divisors (185306516640).

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

58455946080 is a wasteful number, since it uses less digits than its factorization.

58455946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 58455946080 in words is "fifty-eight billion, four hundred fifty-five million, nine hundred forty-six thousand, eighty".