58868134560 has 384 divisors, whose sum is σ = 215080427520. Its totient is φ = 15023923200.

The previous prime is 58868134543. The next prime is 58868134571. The reversal of 58868134560 is 6543186885.

58868134560 is a `hidden beast` number, since 5 + 8 + 8 + 68 + 13 + 4 + 560 = 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 = 58868134497 and 58868134506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9384225 + ... + 9390495.

It is an arithmetic number, because the mean of its divisors is an integer number (560105280).

Almost surely, 2^58868134560 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 58868134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107540213760).

58868134560 is an abundant number, since it is smaller than the sum of its proper divisors (156212292960).

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

58868134560 is a wasteful number, since it uses less digits than its factorization.

58868134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 58868134560 in words is "fifty-eight billion, eight hundred sixty-eight million, one hundred thirty-four thousand, five hundred sixty".