58295664720 has 240 divisors, whose sum is σ = 206408217600. Its totient is φ = 14703897600.

The previous prime is 58295664697. The next prime is 58295664731. The reversal of 58295664720 is 2746659285.

58295664720 is a `hidden beast` number, since 5 + 8 + 2 + 9 + 566 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×58295664720³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9586641 + ... + 9592719.

It is an arithmetic number, because the mean of its divisors is an integer number (860034240).

Almost surely, 2^58295664720 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 58295664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103204108800).

58295664720 is an abundant number, since it is smaller than the sum of its proper divisors (148112552880).

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

58295664720 is a wasteful number, since it uses less digits than its factorization.

58295664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 58295664720 in words is "fifty-eight billion, two hundred ninety-five million, six hundred sixty-four thousand, seven hundred twenty".