58145052826080 has 768 divisors, whose sum is σ = 225218836039680. Its totient is φ = 13892224204800.

The previous prime is 58145052826061. The next prime is 58145052826087. The reversal of 58145052826080 is 8062825054185.

58145052826080 is a `hidden beast` number, since 5 + 8 + 1 + 4 + 5 + 0 + 5 + 28 + 2 + 608 + 0 = 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 (58145052826087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5241593014 + ... + 5241604106.

It is an arithmetic number, because the mean of its divisors is an integer number (293253692760).

Almost surely, 2^{58145052826080} 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 58145052826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112609418019840).

58145052826080 is an abundant number, since it is smaller than the sum of its proper divisors (167073783213600).

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

58145052826080 is a wasteful number, since it uses less digits than its factorization.

58145052826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12712 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 58145052826080 in words is "fifty-eight trillion, one hundred forty-five billion, fifty-two million, eight hundred twenty-six thousand, eighty".