58345265664 has 960 divisors, whose sum is σ = 217346088960. Its totient is φ = 14691041280.

The previous prime is 58345265653. The next prime is 58345265689. The reversal of 58345265664 is 46656254385.

58345265664 is a `hidden beast` number, since 5 + 8 + 3 + 4 + 526 + 56 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58345265664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702954967 + ... + 702955049.

It is an arithmetic number, because the mean of its divisors is an integer number (226402176).

Almost surely, 2^58345265664 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 58345265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108673044480).

58345265664 is an abundant number, since it is smaller than the sum of its proper divisors (159000823296).

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

58345265664 is a wasteful number, since it uses less digits than its factorization.

58345265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 58345265664 in words is "fifty-eight billion, three hundred forty-five million, two hundred sixty-five thousand, six hundred sixty-four".