58849375200 has 1152 divisors, whose sum is σ = 251983872000. Its totient is φ = 11573452800.

The previous prime is 58849375199. The next prime is 58849375219. The reversal of 58849375200 is 257394885.

It is a super-2 number, since 2×58849375200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 423376731 + ... + 423376869.

It is an arithmetic number, because the mean of its divisors is an integer number (218736000).

Almost surely, 2^58849375200 is an apocalyptic number.

58849375200 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 58849375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936000).

58849375200 is an abundant number, since it is smaller than the sum of its proper divisors (193134496800).

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

58849375200 is a wasteful number, since it uses less digits than its factorization.

58849375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 58849375200 in words is "fifty-eight billion, eight hundred forty-nine million, three hundred seventy-five thousand, two hundred".