55505479680 has 576 divisors, whose sum is σ = 222370686720. Its totient is φ = 12542017536.

The previous prime is 55505479651. The next prime is 55505479681. The reversal of 55505479680 is 8697450555.

55505479680 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 547 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (55505479681) 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 47 ways as a sum of consecutive naturals, for example, 62576197 + ... + 62577083.

It is an arithmetic number, because the mean of its divisors is an integer number (386060220).

Almost surely, 2^55505479680 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 55505479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111185343360).

55505479680 is an abundant number, since it is smaller than the sum of its proper divisors (166865207040).

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

55505479680 is a wasteful number, since it uses less digits than its factorization.

55505479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 55505479680 in words is "fifty-five billion, five hundred five million, four hundred seventy-nine thousand, six hundred eighty".