58117345347040 has 192 divisors, whose sum is σ = 158392629964800. Its totient is φ = 19738627762176.

The previous prime is 58117345347031. The next prime is 58117345347049. The reversal of 58117345347040 is 4074354371185.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58117345347031) and next prime (58117345347049).

It is a super-2 number, since 2×58117345347040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58117345347049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557487241 + ... + 557591479.

It is an arithmetic number, because the mean of its divisors is an integer number (824961614400).

Almost surely, 2^{58117345347040} 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 58117345347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79196314982400).

58117345347040 is an abundant number, since it is smaller than the sum of its proper divisors (100275284617760).

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

58117345347040 is a wasteful number, since it uses less digits than its factorization.

58117345347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108937 (or 108929 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 58117345347040 in words is "fifty-eight trillion, one hundred seventeen billion, three hundred forty-five million, three hundred forty-seven thousand, forty".