59144121120 has 960 divisors, whose sum is σ = 238182698880. Its totient is φ = 12290310144.

The previous prime is 59144121053. The next prime is 59144121149. The reversal of 59144121120 is 2112144195.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 810193404 + ... + 810193476.

It is an arithmetic number, because the mean of its divisors is an integer number (248106978).

Almost surely, 2^59144121120 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 59144121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119091349440).

59144121120 is an abundant number, since it is smaller than the sum of its proper divisors (179038577760).

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

59144121120 is a wasteful number, since it uses less digits than its factorization.

59144121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 59144121120 in words is "fifty-nine billion, one hundred forty-four million, one hundred twenty-one thousand, one hundred twenty".