55959160320 has 960 divisors, whose sum is σ = 231466435200. Its totient is φ = 12485394432.

The previous prime is 55959160267. The next prime is 55959160331. The reversal of 55959160320 is 2306195955.

55959160320 is a `hidden beast` number, since 5 + 59 + 591 + 6 + 0 + 3 + 2 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 576898512 + ... + 576898608.

It is an arithmetic number, because the mean of its divisors is an integer number (241110870).

Almost surely, 2^55959160320 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 55959160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115733217600).

55959160320 is an abundant number, since it is smaller than the sum of its proper divisors (175507274880).

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

55959160320 is an equidigital number, since it uses as much as digits as its factorization.

55959160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 55959160320 in words is "fifty-five billion, nine hundred fifty-nine million, one hundred sixty thousand, three hundred twenty".