55984517280 has 336 divisors, whose sum is σ = 200569740840. Its totient is φ = 14758723584.

The previous prime is 55984517233. The next prime is 55984517293. The reversal of 55984517280 is 8271548955.

55984517280 is a `hidden beast` number, since 5 + 598 + 45 + 1 + 7 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49545417744 + 6439099536 = 222588^2 + 80244^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 10378264 + ... + 10383656.

Almost surely, 2^55984517280 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 55984517280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100284870420).

55984517280 is an abundant number, since it is smaller than the sum of its proper divisors (144585223560).

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

55984517280 is an equidigital number, since it uses as much as digits as its factorization.

55984517280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 55984517280 in words is "fifty-five billion, nine hundred eighty-four million, five hundred seventeen thousand, two hundred eighty".