58968060480 has 896 divisors, whose sum is σ = 255130767360. Its totient is φ = 12514590720.

The previous prime is 58968060467. The next prime is 58968060521. The reversal of 58968060480 is 8406086985.

It is a happy number.

58968060480 is a `hidden beast` number, since 5 + 89 + 6 + 80 + 6 + 0 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85336935 + ... + 85337625.

It is an arithmetic number, because the mean of its divisors is an integer number (284744160).

Almost surely, 2^58968060480 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 58968060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127565383680).

58968060480 is an abundant number, since it is smaller than the sum of its proper divisors (196162706880).

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

58968060480 is a wasteful number, since it uses less digits than its factorization.

58968060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 58968060480 in words is "fifty-eight billion, nine hundred sixty-eight million, sixty thousand, four hundred eighty".