58051300013850 has 288 divisors, whose sum is σ = 170099272664064. Its totient is φ = 12987931756800.

The previous prime is 58051300013849. The next prime is 58051300013887. The reversal of 58051300013850 is 5831000315085.

It is a super-3 number, since 3×58051300013850³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 58051300013799 and 58051300013808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1646033917 + ... + 1646069183.

It is an arithmetic number, because the mean of its divisors is an integer number (590622474528).

Almost surely, 2^{58051300013850} is an apocalyptic number.

58051300013850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58051300013850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85049636332032).

58051300013850 is an abundant number, since it is smaller than the sum of its proper divisors (112047972650214).

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

58051300013850 is a wasteful number, since it uses less digits than its factorization.

58051300013850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41222 (or 41204 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 58051300013850 in words is "fifty-eight trillion, fifty-one billion, three hundred million, thirteen thousand, eight hundred fifty".