58973601960 has 768 divisors, whose sum is σ = 248869071360. Its totient is φ = 12227604480.

The previous prime is 58973601941. The next prime is 58973601997. The reversal of 58973601960 is 6910637985.

58973601960 is a `hidden beast` number, since 5 + 8 + 97 + 360 + 196 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 58973601897 and 58973601906.

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 191 ways as a sum of consecutive naturals, for example, 53955174 + ... + 53956266.

It is an arithmetic number, because the mean of its divisors is an integer number (324048270).

Almost surely, 2^58973601960 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 58973601960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124434535680).

58973601960 is an abundant number, since it is smaller than the sum of its proper divisors (189895469400).

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

58973601960 is a wasteful number, since it uses less digits than its factorization.

58973601960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 58973601960 in words is "fifty-eight billion, nine hundred seventy-three million, six hundred one thousand, nine hundred sixty".