58344390720 has 2240 divisors, whose sum is σ = 285510500352. Its totient is φ = 10948608000.

The previous prime is 58344390719. The next prime is 58344390721. The reversal of 58344390720 is 2709344385.

58344390720 is a `hidden beast` number, since 58 + 3 + 443 + 90 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58344390719) and next prime (58344390721).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58344390721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1423033900 + ... + 1423033940.

Almost surely, 2^58344390720 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 58344390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142755250176).

58344390720 is an abundant number, since it is smaller than the sum of its proper divisors (227166109632).

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

58344390720 is a wasteful number, since it uses less digits than its factorization.

58344390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 58344390720 in words is "fifty-eight billion, three hundred forty-four million, three hundred ninety thousand, seven hundred twenty".