58030664630400 has 1920 divisors, whose sum is σ = 267677541648000. Its totient is φ = 12027145420800.

The previous prime is 58030664630333. The next prime is 58030664630401. The reversal of 58030664630400 is 403646603085.

58030664630400 is a `hidden beast` number, since 5 + 8 + 0 + 3 + 0 + 6 + 6 + 4 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (58030664630401) 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 239 ways as a sum of consecutive naturals, for example, 8162982046 + ... + 8162989154.

It is an arithmetic number, because the mean of its divisors is an integer number (139415386275).

Almost surely, 2^{58030664630400} is an apocalyptic number.

58030664630400 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 58030664630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133838770824000).

58030664630400 is an abundant number, since it is smaller than the sum of its proper divisors (209646877017600).

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

58030664630400 is a wasteful number, since it uses less digits than its factorization.

58030664630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 58030664630400 in words is "fifty-eight trillion, thirty billion, six hundred sixty-four million, six hundred thirty thousand, four hundred".