5610677553360 has 960 divisors, whose sum is σ = 22755377848320. Its totient is φ = 1222099845120.

The previous prime is 5610677553353. The next prime is 5610677553361. The reversal of 5610677553360 is 633557760165.

5610677553360 is a `hidden beast` number, since 5 + 6 + 10 + 6 + 77 + 553 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5610677553297 and 5610677553306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5610677553361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1916868217 + ... + 1916871143.

It is an arithmetic number, because the mean of its divisors is an integer number (23703518592).

Almost surely, 2^{5610677553360} 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 5610677553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377688924160).

5610677553360 is an abundant number, since it is smaller than the sum of its proper divisors (17144700294960).

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

5610677553360 is a wasteful number, since it uses less digits than its factorization.

5610677553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 5610677553360 in words is "five trillion, six hundred ten billion, six hundred seventy-seven million, five hundred fifty-three thousand, three hundred sixty".