55180906560 has 1344 divisors, whose sum is σ = 237648902400. Its totient is φ = 12111151104.

The previous prime is 55180906493. The next prime is 55180906567. The reversal of 55180906560 is 6560908155.

It is a happy number.

55180906560 is a `hidden beast` number, since 5 + 5 + 1 + 80 + 9 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55180906567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2904258231 + ... + 2904258249.

It is an arithmetic number, because the mean of its divisors is an integer number (176822100).

Almost surely, 2^55180906560 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 55180906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118824451200).

55180906560 is an abundant number, since it is smaller than the sum of its proper divisors (182467995840).

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

55180906560 is a wasteful number, since it uses less digits than its factorization.

55180906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 55180906560 in words is "fifty-five billion, one hundred eighty million, nine hundred six thousand, five hundred sixty".