55599598080 has 960 divisors, whose sum is σ = 221591129760. Its totient is φ = 12782665728.

The previous prime is 55599598073. The next prime is 55599598091. The reversal of 55599598080 is 8089599555.

It can be written as a sum of positive squares in 16 ways, for example, as 18050459904 + 37549138176 = 134352^2 + 193776^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 55599597999 and 55599598017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321384874 + ... + 321385046.

Almost surely, 2^55599598080 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 55599598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110795564880).

55599598080 is an abundant number, since it is smaller than the sum of its proper divisors (165991531680).

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

55599598080 is a wasteful number, since it uses less digits than its factorization.

55599598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 63.

The spelling of 55599598080 in words is "fifty-five billion, five hundred ninety-nine million, five hundred ninety-eight thousand, eighty".