58755045600 has 576 divisors, whose sum is σ = 223140718080. Its totient is φ = 14892134400.

The previous prime is 58755045553. The next prime is 58755045611. The reversal of 58755045600 is 654055785.

58755045600 is a `hidden beast` number, since 5 + 87 + 5 + 5 + 0 + 4 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112773340 + ... + 112773860.

It is an arithmetic number, because the mean of its divisors is an integer number (387397080).

Almost surely, 2^58755045600 is an apocalyptic number.

58755045600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58755045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111570359040).

58755045600 is an abundant number, since it is smaller than the sum of its proper divisors (164385672480).

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

58755045600 is a wasteful number, since it uses less digits than its factorization.

58755045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 58755045600 in words is "fifty-eight billion, seven hundred fifty-five million, forty-five thousand, six hundred".