60105066666656 has 96 divisors (see below), whose sum is σ = 129397815441216. Its totient is φ = 27255205120000.

The previous prime is 60105066666539. The next prime is 60105066666707. The reversal of 60105066666656 is 65666666050106.

It is a super-2 number, since 2×60105066666656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60105066666595 and 60105066666604.

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, 1437864956 + ... + 1437906756.

It is an arithmetic number, because the mean of its divisors is an integer number (1347893910846).

Almost surely, 2^{60105066666656} 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 60105066666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64698907720608).

60105066666656 is an abundant number, since it is smaller than the sum of its proper divisors (69292748774560).

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

60105066666656 is a wasteful number, since it uses less digits than its factorization.

60105066666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51486 (or 51478 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 59.

The spelling of 60105066666656 in words is "sixty trillion, one hundred five billion, sixty-six million, six hundred sixty-six thousand, six hundred fifty-six".