58861878660 has 360 divisors, whose sum is σ = 201327698880. Its totient is φ = 14389270272.

The previous prime is 58861878643. The next prime is 58861878661. The reversal of 58861878660 is 6687816885.

58861878660 is a `hidden beast` number, since 5 + 8 + 8 + 618 + 7 + 8 + 6 + 6 + 0 = 666.

It is a super-3 number, since 3×58861878660³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (58861878661) 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 119 ways as a sum of consecutive naturals, for example, 44625481 + ... + 44626799.

It is an arithmetic number, because the mean of its divisors is an integer number (559243608).

Almost surely, 2^58861878660 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 58861878660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663849440).

58861878660 is an abundant number, since it is smaller than the sum of its proper divisors (142465820220).

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

58861878660 is a wasteful number, since it uses less digits than its factorization.

58861878660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 58861878660 in words is "fifty-eight billion, eight hundred sixty-one million, eight hundred seventy-eight thousand, six hundred sixty".