58672229245920 has 288 divisors, whose sum is σ = 206972602147584. Its totient is φ = 15119612928000.

The previous prime is 58672229245859. The next prime is 58672229245933. The reversal of 58672229245920 is 2954292227685.

It is a happy number.

58672229245920 is a `hidden beast` number, since 5 + 8 + 6 + 72 + 2 + 2 + 92 + 459 + 20 = 666.

58672229245920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30355164 + ... + 32230116.

It is an arithmetic number, because the mean of its divisors is an integer number (718654868568).

Almost surely, 2^{58672229245920} 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 58672229245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103486301073792).

58672229245920 is an abundant number, since it is smaller than the sum of its proper divisors (148300372901664).

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

58672229245920 is a wasteful number, since it uses less digits than its factorization.

58672229245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875706 (or 1875695 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 58672229245920 in words is "fifty-eight trillion, six hundred seventy-two billion, two hundred twenty-nine million, two hundred forty-five thousand, nine hundred twenty".