55008254880 has 288 divisors, whose sum is σ = 190419465600. Its totient is φ = 14459037696.

The previous prime is 55008254857. The next prime is 55008254953. The reversal of 55008254880 is 8845280055.

55008254880 is a `hidden beast` number, since 5 + 500 + 8 + 25 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35283541 + ... + 35285099.

It is an arithmetic number, because the mean of its divisors is an integer number (661178700).

Almost surely, 2^55008254880 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 55008254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95209732800).

55008254880 is an abundant number, since it is smaller than the sum of its proper divisors (135411210720).

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

55008254880 is a wasteful number, since it uses less digits than its factorization.

55008254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 55008254880 in words is "fifty-five billion, eight million, two hundred fifty-four thousand, eight hundred eighty".