59459106960 has 240 divisors, whose sum is σ = 219430598400. Its totient is φ = 14308853760.

The previous prime is 59459106953. The next prime is 59459107007. The reversal of 59459106960 is 6960195495.

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

It is a junction number, because it is equal to n+sod(n) for n = 59459106897 and 59459106906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057641 + ... + 1112439.

It is an arithmetic number, because the mean of its divisors is an integer number (914294160).

Almost surely, 2^59459106960 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 59459106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109715299200).

59459106960 is an abundant number, since it is smaller than the sum of its proper divisors (159971491440).

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

59459106960 is a wasteful number, since it uses less digits than its factorization.

59459106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54966 (or 54957 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 59459106960 in words is "fifty-nine billion, four hundred fifty-nine million, one hundred six thousand, nine hundred sixty".