58742351731200 has 240 divisors, whose sum is σ = 194149015632000. Its totient is φ = 15656770437120.

The previous prime is 58742351731177. The next prime is 58742351731237. The reversal of 58742351731200 is 213715324785.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58742351731200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76378972 + ... + 77144228.

It is an arithmetic number, because the mean of its divisors is an integer number (808954231800).

Almost surely, 2^{58742351731200} is an apocalyptic number.

58742351731200 is a gapful number since it is divisible by the number (50) 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 58742351731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97074507816000).

58742351731200 is an abundant number, since it is smaller than the sum of its proper divisors (135406663900800).

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

58742351731200 is a wasteful number, since it uses less digits than its factorization.

58742351731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767287 (or 767266 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 58742351731200 in words is "fifty-eight trillion, seven hundred forty-two billion, three hundred fifty-one million, seven hundred thirty-one thousand, two hundred".