58429068874272 has 672 divisors, whose sum is σ = 179591499440640. Its totient is φ = 18691304325120.

The previous prime is 58429068874237. The next prime is 58429068874289. The reversal of 58429068874272 is 27247886092485.

58429068874272 is a `hidden beast` number, since 5 + 8 + 4 + 290 + 68 + 8 + 7 + 4 + 272 = 666.

58429068874272 is digitally balanced in base 5, 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 58429068874272.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 15024186504 + ... + 15024190392.

It is an arithmetic number, because the mean of its divisors is an integer number (267249255120).

Almost surely, 2^{58429068874272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58429068874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89795749720320).

58429068874272 is an abundant number, since it is smaller than the sum of its proper divisors (121162430566368).

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

58429068874272 is a wasteful number, since it uses less digits than its factorization.

58429068874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 58429068874272 in words is "fifty-eight trillion, four hundred twenty-nine billion, sixty-eight million, eight hundred seventy-four thousand, two hundred seventy-two".