58413360600 has 864 divisors, whose sum is σ = 249299668800. Its totient is φ = 12639110400.

The previous prime is 58413360541. The next prime is 58413360617. The reversal of 58413360600 is 606331485.

58413360600 is a `hidden beast` number, since 5 + 8 + 4 + 13 + 36 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 45245955 + ... + 45247245.

Almost surely, 2^58413360600 is an apocalyptic number.

58413360600 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 58413360600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649834400).

58413360600 is an abundant number, since it is smaller than the sum of its proper divisors (190886308200).

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

58413360600 is a wasteful number, since it uses less digits than its factorization.

58413360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 58413360600 in words is "fifty-eight billion, four hundred thirteen million, three hundred sixty thousand, six hundred".