58855680 has 288 divisors, whose sum is σ = 226638720. Its totient is φ = 14376960.

The previous prime is 58855669. The next prime is 58855697. The reversal of 58855680 is 8655885.

58855680 is a `hidden beast` number, since 5 + 8 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 449215 + ... + 449345.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 2^58855680 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 58855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

58855680 is an abundant number, since it is smaller than the sum of its proper divisors (167783040).

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

58855680 is a wasteful number, since it uses less digits than its factorization.

58855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 58855680 is about 7671.7455640812. The cubic root of 58855680 is about 388.9819602484.

The spelling of 58855680 in words is "fifty-eight million, eight hundred fifty-five thousand, six hundred eighty".