55538406560 has 192 divisors, whose sum is σ = 163306886400. Its totient is φ = 17379090432.

The previous prime is 55538406559. The next prime is 55538406563. The reversal of 55538406560 is 6560483555.

It is not an unprimeable number, because it can be changed into a prime (55538406563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1274411 + ... + 1317269.

It is an arithmetic number, because the mean of its divisors is an integer number (850556700).

Almost surely, 2^55538406560 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 55538406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81653443200).

55538406560 is an abundant number, since it is smaller than the sum of its proper divisors (107768479840).

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

55538406560 is a wasteful number, since it uses less digits than its factorization.

55538406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42983 (or 42975 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 55538406560 in words is "fifty-five billion, five hundred thirty-eight million, four hundred six thousand, five hundred sixty".