58441164288 has 320 divisors, whose sum is σ = 182221670400. Its totient is φ = 16482631680.

The previous prime is 58441164283. The next prime is 58441164337. The reversal of 58441164288 is 88246114485.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58441164288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58441164283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11758668 + ... + 11763636.

It is an arithmetic number, because the mean of its divisors is an integer number (569442720).

Almost surely, 2^58441164288 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 58441164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91110835200).

58441164288 is an abundant number, since it is smaller than the sum of its proper divisors (123780506112).

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

58441164288 is a wasteful number, since it uses less digits than its factorization.

58441164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5037 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 58441164288 in words is "fifty-eight billion, four hundred forty-one million, one hundred sixty-four thousand, two hundred eighty-eight".