58553407941120 has 800 divisors, whose sum is σ = 211419383472000. Its totient is φ = 15488139755520.

The previous prime is 58553407941089. The next prime is 58553407941131. The reversal of 58553407941120 is 2114970435585.

58553407941120 is a `hidden beast` number, since 5 + 8 + 5 + 534 + 0 + 7 + 94 + 1 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17900765085 + ... + 17900768355.

It is an arithmetic number, because the mean of its divisors is an integer number (264274229340).

Almost surely, 2^{58553407941120} 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 58553407941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105709691736000).

58553407941120 is an abundant number, since it is smaller than the sum of its proper divisors (152865975530880).

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

58553407941120 is a wasteful number, since it uses less digits than its factorization.

58553407941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 58553407941120 in words is "fifty-eight trillion, five hundred fifty-three billion, four hundred seven million, nine hundred forty-one thousand, one hundred twenty".