55513398216960 has 216 divisors, whose sum is σ = 192189716127864. Its totient is φ = 14794390241280.

The previous prime is 55513398216931. The next prime is 55513398216977. The reversal of 55513398216960 is 6961289331555.

It is a happy number.

55513398216960 is a `hidden beast` number, since 5 + 5 + 5 + 1 + 339 + 82 + 169 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13028865640704 + 42484532576256 = 3609552^2 + 6518016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17088000 + ... + 20075520.

Almost surely, 2^{55513398216960} 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 55513398216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96094858063932).

55513398216960 is an abundant number, since it is smaller than the sum of its proper divisors (136676317910904).

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

55513398216960 is a wasteful number, since it uses less digits than its factorization.

55513398216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989161 (or 2989144 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 55513398216960 in words is "fifty-five trillion, five hundred thirteen billion, three hundred ninety-eight million, two hundred sixteen thousand, nine hundred sixty".