58075865120 has 768 divisors, whose sum is σ = 192584770560. Its totient is φ = 16010182656.

The previous prime is 58075865047. The next prime is 58075865129. The reversal of 58075865120 is 2156857085.

It is a happy number.

It is a super-2 number, since 2×58075865120² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58075865129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249252524 + ... + 249252756.

It is an arithmetic number, because the mean of its divisors is an integer number (250761420).

Almost surely, 2^58075865120 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 58075865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96292385280).

58075865120 is an abundant number, since it is smaller than the sum of its proper divisors (134508905440).

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

58075865120 is a wasteful number, since it uses less digits than its factorization.

58075865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 47.

The spelling of 58075865120 in words is "fifty-eight billion, seventy-five million, eight hundred sixty-five thousand, one hundred twenty".