59313101417216 has 144 divisors (see below), whose sum is σ = 123422371234848. Its totient is φ = 28425741926400.

The previous prime is 59313101417161. The next prime is 59313101417221. The reversal of 59313101417216 is 61271410131395.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196764851 + ... + 197066061.

It is an arithmetic number, because the mean of its divisors is an integer number (857099800242).

Almost surely, 2^{59313101417216} 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 59313101417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711185617424).

59313101417216 is an abundant number, since it is smaller than the sum of its proper divisors (64109269817632).

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

59313101417216 is a wasteful number, since it uses less digits than its factorization.

59313101417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301598 (or 301584 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 59313101417216 in words is "fifty-nine trillion, three hundred thirteen billion, one hundred one million, four hundred seventeen thousand, two hundred sixteen".