58042477800 has 480 divisors, whose sum is σ = 214383153600. Its totient is φ = 14503864320.

The previous prime is 58042477751. The next prime is 58042477853. The reversal of 58042477800 is 877424085.

58042477800 is a `hidden beast` number, since 5 + 80 + 424 + 77 + 80 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 115392349 + ... + 115392851.

It is an arithmetic number, because the mean of its divisors is an integer number (446631570).

Almost surely, 2^58042477800 is an apocalyptic number.

58042477800 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 58042477800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107191576800).

58042477800 is an abundant number, since it is smaller than the sum of its proper divisors (156340675800).

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

58042477800 is a wasteful number, since it uses less digits than its factorization.

58042477800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 58042477800 in words is "fifty-eight billion, forty-two million, four hundred seventy-seven thousand, eight hundred".