55610036476560 has 240 divisors, whose sum is σ = 188633326413168. Its totient is φ = 14680399872000.

The previous prime is 55610036476559. The next prime is 55610036476613. The reversal of 55610036476560 is 6567463001655.

55610036476560 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 0 + 0 + 3 + 6 + 4 + 76 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1649611434384 + 53960425042176 = 1284372^2 + 7345776^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 55610036476497 and 55610036476506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540476320 + ... + 540579200.

Almost surely, 2^{55610036476560} 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 55610036476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94316663206584).

55610036476560 is an abundant number, since it is smaller than the sum of its proper divisors (133023289936608).

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

55610036476560 is a wasteful number, since it uses less digits than its factorization.

55610036476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110434 (or 110425 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 55610036476560 in words is "fifty-five trillion, six hundred ten billion, thirty-six million, four hundred seventy-six thousand, five hundred sixty".