58861446120 has 320 divisors, whose sum is σ = 203064174720. Its totient is φ = 15284215296.

The previous prime is 58861446113. The next prime is 58861446121. The reversal of 58861446120 is 2164416885.

It is a happy number.

58861446120 is a `hidden beast` number, since 5 + 8 + 8 + 614 + 4 + 6 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58861446121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90139714 + ... + 90140366.

It is an arithmetic number, because the mean of its divisors is an integer number (634575546).

Almost surely, 2^58861446120 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 58861446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101532087360).

58861446120 is an abundant number, since it is smaller than the sum of its proper divisors (144202728600).

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

58861446120 is a wasteful number, since it uses less digits than its factorization.

58861446120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 58861446120 in words is "fifty-eight billion, eight hundred sixty-one million, four hundred forty-six thousand, one hundred twenty".