59605125242880 has 672 divisors, whose sum is σ = 220183059629952. Its totient is φ = 13487151513600.

The previous prime is 59605125242813. The next prime is 59605125242921. The reversal of 59605125242880 is 8824252150695.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 59605125242880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8774488764 + ... + 8774495556.

Almost surely, 2^{59605125242880} 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 59605125242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110091529814976).

59605125242880 is an abundant number, since it is smaller than the sum of its proper divisors (160577934387072).

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

59605125242880 is an equidigital number, since it uses as much as digits as its factorization.

59605125242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 59605125242880 in words is "fifty-nine trillion, six hundred five billion, one hundred twenty-five million, two hundred forty-two thousand, eight hundred eighty".