58349426088960 has 528 divisors, whose sum is σ = 204948810393600. Its totient is φ = 15347105759232.

The previous prime is 58349426088953. The next prime is 58349426088983. The reversal of 58349426088960 is 6988062494385.

It is a happy number.

58349426088960 is a `hidden beast` number, since 5 + 8 + 3 + 4 + 9 + 4 + 2 + 608 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×58349426088960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3782284767 + ... + 3782300193.

Almost surely, 2^{58349426088960} 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 58349426088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102474405196800).

58349426088960 is an abundant number, since it is smaller than the sum of its proper divisors (146599384304640).

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

58349426088960 is a wasteful number, since it uses less digits than its factorization.

58349426088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 58349426088960 in words is "fifty-eight trillion, three hundred forty-nine billion, four hundred twenty-six million, eighty-eight thousand, nine hundred sixty".