58027802700 has 288 divisors, whose sum is σ = 197935331328. Its totient is φ = 12850560000.

The previous prime is 58027802671. The next prime is 58027802717. The reversal of 58027802700 is 720872085.

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 95 ways as a sum of consecutive naturals, for example, 9965790 + ... + 9971610.

It is an arithmetic number, because the mean of its divisors is an integer number (687275456).

Almost surely, 2^58027802700 is an apocalyptic number.

58027802700 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 58027802700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98967665664).

58027802700 is an abundant number, since it is smaller than the sum of its proper divisors (139907528628).

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

58027802700 is a wasteful number, since it uses less digits than its factorization.

58027802700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 58027802700 in words is "fifty-eight billion, twenty-seven million, eight hundred two thousand, seven hundred".