58279722240 has 288 divisors, whose sum is σ = 196837788672. Its totient is φ = 14671872000.

The previous prime is 58279722239. The next prime is 58279722283. The reversal of 58279722240 is 4222797285.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58279722240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4874670 + ... + 4886610.

It is an arithmetic number, because the mean of its divisors is an integer number (683464544).

Almost surely, 2^58279722240 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 58279722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98418894336).

58279722240 is an abundant number, since it is smaller than the sum of its proper divisors (138558066432).

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

58279722240 is a wasteful number, since it uses less digits than its factorization.

58279722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037 (or 12023 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 58279722240 in words is "fifty-eight billion, two hundred seventy-nine million, seven hundred twenty-two thousand, two hundred forty".