58327045081200 has 1080 divisors, whose sum is σ = 240247336507776. Its totient is φ = 13063026816000.

The previous prime is 58327045081187. The next prime is 58327045081247. The reversal of 58327045081200 is 218054072385.

58327045081200 is a `hidden beast` number, since 5 + 8 + 3 + 2 + 70 + 450 + 8 + 120 + 0 = 666.

It is a super-2 number, since 2×58327045081200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2041462915 + ... + 2041491485.

Almost surely, 2^{58327045081200} is an apocalyptic number.

58327045081200 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 58327045081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120123668253888).

58327045081200 is an abundant number, since it is smaller than the sum of its proper divisors (181920291426576).

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

58327045081200 is a wasteful number, since it uses less digits than its factorization.

58327045081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28843 (or 28822 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 58327045081200 in words is "fifty-eight trillion, three hundred twenty-seven billion, forty-five million, eighty-one thousand, two hundred".