58437450240 has 640 divisors, whose sum is σ = 211186483200. Its totient is φ = 13686865920.

The previous prime is 58437450199. The next prime is 58437450283. The reversal of 58437450240 is 4205473485.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 58437450192 and 58437450201.

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, 244508041 + ... + 244508279.

It is an arithmetic number, because the mean of its divisors is an integer number (329978880).

Almost surely, 2^58437450240 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 58437450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105593241600).

58437450240 is an abundant number, since it is smaller than the sum of its proper divisors (152749032960).

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

58437450240 is a wasteful number, since it uses less digits than its factorization.

58437450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 58437450240 in words is "fifty-eight billion, four hundred thirty-seven million, four hundred fifty thousand, two hundred forty".