58164801120 has 576 divisors, whose sum is σ = 209409048576. Its totient is φ = 14689382400.

The previous prime is 58164801103. The next prime is 58164801127. The reversal of 58164801120 is 2110846185.

58164801120 is a `hidden beast` number, since 5 + 8 + 1 + 648 + 0 + 1 + 1 + 2 + 0 = 666.

It is a super-4 number, since 4×58164801120⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58164801127) 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 95 ways as a sum of consecutive naturals, for example, 457990497 + ... + 457990623.

It is an arithmetic number, because the mean of its divisors is an integer number (363557376).

Almost surely, 2^58164801120 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 58164801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104704524288).

58164801120 is an abundant number, since it is smaller than the sum of its proper divisors (151244247456).

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

58164801120 is a wasteful number, since it uses less digits than its factorization.

58164801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 58164801120 in words is "fifty-eight billion, one hundred sixty-four million, eight hundred one thousand, one hundred twenty".