58942461957120 has 1188 divisors, whose sum is σ = 246710425059540. Its totient is φ = 13472186499072.

The previous prime is 58942461957097. The next prime is 58942461957151. The reversal of 58942461957120 is 2175916424985.

58942461957120 is a `hidden beast` number, since 5 + 8 + 9 + 4 + 2 + 4 + 619 + 5 + 7 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25442258817024 + 33500203140096 = 5044032^2 + 5787936^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1646005776 + ... + 1646041584.

Almost surely, 2^{58942461957120} 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 58942461957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123355212529770).

58942461957120 is an abundant number, since it is smaller than the sum of its proper divisors (187767963102420).

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

58942461957120 is an frugal number, since it uses more digits than its factorization.

58942461957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35872 (or 35826 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 58942461957120 in words is "fifty-eight trillion, nine hundred forty-two billion, four hundred sixty-one million, nine hundred fifty-seven thousand, one hundred twenty".