58955742895104 has 704 divisors, whose sum is σ = 192041116185600. Its totient is φ = 17718711091200.

The previous prime is 58955742895081. The next prime is 58955742895109. The reversal of 58955742895104 is 40159824755985.

58955742895104 is a `hidden beast` number, since 5 + 8 + 9 + 5 + 5 + 7 + 428 + 95 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58955742895109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21508843174 + ... + 21508845914.

It is an arithmetic number, because the mean of its divisors is an integer number (272785676400).

Almost surely, 2^{58955742895104} is an apocalyptic number.

58955742895104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58955742895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96020558092800).

58955742895104 is an abundant number, since it is smaller than the sum of its proper divisors (133085373290496).

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

58955742895104 is a wasteful number, since it uses less digits than its factorization.

58955742895104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 725760000, while the sum is 72.

The spelling of 58955742895104 in words is "fifty-eight trillion, nine hundred fifty-five billion, seven hundred forty-two million, eight hundred ninety-five thousand, one hundred four".