5101611005056 has 128 divisors (see below), whose sum is σ = 10814973422400. Its totient is φ = 2393276928000.

The previous prime is 5101611004993. The next prime is 5101611005089. The reversal of 5101611005056 is 6505001161015.

It is a tau number, because it is divible by the number of its divisors (128).

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, 18658131 + ... + 18929581.

Almost surely, 2^{5101611005056} 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 5101611005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407486711200).

5101611005056 is an abundant number, since it is smaller than the sum of its proper divisors (5713362417344).

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

5101611005056 is a wasteful number, since it uses less digits than its factorization.

5101611005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271638 (or 271626 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 5101611005056 in words is "five trillion, one hundred one billion, six hundred eleven million, five thousand, fifty-six".