5610638446656 has 224 divisors, whose sum is σ = 15511150080000. Its totient is φ = 1787652507648.

The previous prime is 5610638446613. The next prime is 5610638446657. The reversal of 5610638446656 is 6566448360165.

It is a self number, because there is not a number n which added to its sum of digits gives 5610638446656.

It is not an unprimeable number, because it can be changed into a prime (5610638446657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226232145 + ... + 226256943.

Almost surely, 2^{5610638446656} 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 5610638446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755575040000).

5610638446656 is an abundant number, since it is smaller than the sum of its proper divisors (9900511633344).

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

5610638446656 is a wasteful number, since it uses less digits than its factorization.

5610638446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25249 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 5610638446656 in words is "five trillion, six hundred ten billion, six hundred thirty-eight million, four hundred forty-six thousand, six hundred fifty-six".