58109011200 has 540 divisors, whose sum is σ = 216325646460. Its totient is φ = 15389982720.

The previous prime is 58109011199. The next prime is 58109011243. The reversal of 58109011200 is 211090185.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 58107995136 = 1008^2 + 241056^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102124516 + ... + 102125084.

It is an arithmetic number, because the mean of its divisors is an integer number (400603049).

Almost surely, 2^58109011200 is an apocalyptic number.

58109011200 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 58109011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108162823230).

58109011200 is an abundant number, since it is smaller than the sum of its proper divisors (158216635260).

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

58109011200 is a wasteful number, since it uses less digits than its factorization.

58109011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 58109011200 in words is "fifty-eight billion, one hundred nine million, eleven thousand, two hundred".