58273551028224 has 624 divisors, whose sum is σ = 201363639579648. Its totient is φ = 16493771390976.

The previous prime is 58273551028171. The next prime is 58273551028261. The reversal of 58273551028224 is 42282015537285.

58273551028224 is a `hidden beast` number, since 5 + 8 + 2 + 7 + 3 + 551 + 0 + 2 + 82 + 2 + 4 = 666.

58273551028224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745461589 + ... + 745539755.

It is an arithmetic number, because the mean of its divisors is an integer number (322698140352).

Almost surely, 2^{58273551028224} is an apocalyptic number.

58273551028224 is a gapful number since it is divisible by the number (54) 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 58273551028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100681819789824).

58273551028224 is an abundant number, since it is smaller than the sum of its proper divisors (143090088551424).

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

58273551028224 is an equidigital number, since it uses as much as digits as its factorization.

58273551028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78320 (or 78286 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 58273551028224 in words is "fifty-eight trillion, two hundred seventy-three billion, five hundred fifty-one million, twenty-eight thousand, two hundred twenty-four".