58680210140160 has 2112 divisors, whose sum is σ = 232878982348800. Its totient is φ = 12348278046720.

The previous prime is 58680210140093. The next prime is 58680210140171. The reversal of 58680210140160 is 6104101208685.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 294875427741 + ... + 294875427939.

Almost surely, 2^{58680210140160} 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 58680210140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116439491174400).

58680210140160 is an abundant number, since it is smaller than the sum of its proper divisors (174198772208640).

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

58680210140160 is a wasteful number, since it uses less digits than its factorization.

58680210140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 58680210140160 in words is "fifty-eight trillion, six hundred eighty billion, two hundred ten million, one hundred forty thousand, one hundred sixty".