5617563361280 has 224 divisors, whose sum is σ = 14530493716704. Its totient is φ = 2072443355136.

The previous prime is 5617563361259. The next prime is 5617563361337. The reversal of 5617563361280 is 821633657165.

It is a congruent number.

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, 759845264 + ... + 759852656.

It is an arithmetic number, because the mean of its divisors is an integer number (64868275521).

Almost surely, 2^{5617563361280} 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 5617563361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265246858352).

5617563361280 is an abundant number, since it is smaller than the sum of its proper divisors (8912930355424).

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

5617563361280 is a wasteful number, since it uses less digits than its factorization.

5617563361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 5617563361280 in words is "five trillion, six hundred seventeen billion, five hundred sixty-three million, three hundred sixty-one thousand, two hundred eighty".