5610825762048 has 864 divisors, whose sum is σ = 18573496381440. Its totient is φ = 1615941550080.

The previous prime is 5610825762041. The next prime is 5610825762109. The reversal of 5610825762048 is 8402675280165.

5610825762048 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 8 + 2 + 5 + 7 + 620 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5610825761985 and 5610825762003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5610825762041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7129384311 + ... + 7129385097.

Almost surely, 2^{5610825762048} 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 5610825762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286748190720).

5610825762048 is an abundant number, since it is smaller than the sum of its proper divisors (12962670619392).

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

5610825762048 is a wasteful number, since it uses less digits than its factorization.

5610825762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5610825762048 in words is "five trillion, six hundred ten billion, eight hundred twenty-five million, seven hundred sixty-two thousand, forty-eight".