58413560600 has 96 divisors (see below), whose sum is σ = 144662928480. Its totient is φ = 21859092480.

The previous prime is 58413560539. The next prime is 58413560659. The reversal of 58413560600 is 606531485.

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 23 ways as a sum of consecutive naturals, for example, 516362 + ... + 619238.

It is an arithmetic number, because the mean of its divisors is an integer number (1506905505).

Almost surely, 2^58413560600 is an apocalyptic number.

58413560600 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 58413560600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72331464240).

58413560600 is an abundant number, since it is smaller than the sum of its proper divisors (86249367880).

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

58413560600 is a wasteful number, since it uses less digits than its factorization.

58413560600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103077 (or 103068 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 58413560600 in words is "fifty-eight billion, four hundred thirteen million, five hundred sixty thousand, six hundred".