59659408220160 has 1792 divisors, whose sum is σ = 237856876462080. Its totient is φ = 12469539962880.

The previous prime is 59659408220147. The next prime is 59659408220189. The reversal of 59659408220160 is 6102280495695.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a self number, because there is not a number n which added to its sum of digits gives 59659408220160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54583172574 + ... + 54583173666.

Almost surely, 2^{59659408220160} 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 59659408220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118928438231040).

59659408220160 is an abundant number, since it is smaller than the sum of its proper divisors (178197468241920).

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

59659408220160 is a wasteful number, since it uses less digits than its factorization.

59659408220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 59659408220160 in words is "fifty-nine trillion, six hundred fifty-nine billion, four hundred eight million, two hundred twenty thousand, one hundred sixty".