58129357307472 has 400 divisors, whose sum is σ = 194794748617920. Its totient is φ = 16687844363520.

The previous prime is 58129357307381. The next prime is 58129357307477. The reversal of 58129357307472 is 27470375392185.

58129357307472 is a `hidden beast` number, since 5 + 8 + 1 + 2 + 93 + 5 + 73 + 0 + 7 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58129357307477) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31887738 + ... + 33661350.

Almost surely, 2^{58129357307472} 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 58129357307472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97397374308960).

58129357307472 is an abundant number, since it is smaller than the sum of its proper divisors (136665391310448).

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

58129357307472 is a wasteful number, since it uses less digits than its factorization.

58129357307472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773685 (or 1773648 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 58129357307472 in words is "fifty-eight trillion, one hundred twenty-nine billion, three hundred fifty-seven million, three hundred seven thousand, four hundred seventy-two".