58268249424 has 800 divisors, whose sum is σ = 221565628416. Its totient is φ = 14343920640.

The previous prime is 58268249423. The next prime is 58268249437. The reversal of 58268249424 is 42494286285.

58268249424 is a `hidden beast` number, since 58 + 2 + 6 + 82 + 494 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58268249423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158768889 + ... + 158769255.

Almost surely, 2^58268249424 is an apocalyptic number.

58268249424 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 58268249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110782814208).

58268249424 is an abundant number, since it is smaller than the sum of its proper divisors (163297378992).

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

58268249424 is a wasteful number, since it uses less digits than its factorization.

58268249424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 58268249424 in words is "fifty-eight billion, two hundred sixty-eight million, two hundred forty-nine thousand, four hundred twenty-four".