58349342250 has 448 divisors, whose sum is σ = 178440032160. Its totient is φ = 14220748800.

The previous prime is 58349342239. The next prime is 58349342273. The reversal of 58349342250 is 5224394385.

58349342250 is a `hidden beast` number, since 58 + 3 + 4 + 9 + 342 + 250 = 666.

58349342250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 6185979801 + 52163362449 = 78651^2 + 228393^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 58349342196 and 58349342205.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 114634996 + ... + 114635504.

Almost surely, 2^58349342250 is an apocalyptic number.

58349342250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58349342250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89220016080).

58349342250 is an abundant number, since it is smaller than the sum of its proper divisors (120090689910).

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

58349342250 is a wasteful number, since it uses less digits than its factorization.

58349342250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 58349342250 in words is "fifty-eight billion, three hundred forty-nine million, three hundred forty-two thousand, two hundred fifty".