58061965248 has 336 divisors, whose sum is σ = 197579528640. Its totient is φ = 15955771392.

The previous prime is 58061965229. The next prime is 58061965391. The reversal of 58061965248 is 84256916085.

58061965248 is a `hidden beast` number, since 58 + 0 + 61 + 9 + 6 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×58061965248³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58061965194 and 58061965203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13275190 + ... + 13279562.

Almost surely, 2^58061965248 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 58061965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98789764320).

58061965248 is an abundant number, since it is smaller than the sum of its proper divisors (139517563392).

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

58061965248 is a wasteful number, since it uses less digits than its factorization.

58061965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 58061965248 in words is "fifty-eight billion, sixty-one million, nine hundred sixty-five thousand, two hundred forty-eight".