54509937280 has 128 divisors (see below), whose sum is σ = 133853702400. Its totient is φ = 21215416320.

The previous prime is 54509937277. The next prime is 54509937301. The reversal of 54509937280 is 8273990545.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 7454266 + ... + 7461574.

It is an arithmetic number, because the mean of its divisors is an integer number (1045732050).

Almost surely, 2^54509937280 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 54509937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66926851200).

54509937280 is an abundant number, since it is smaller than the sum of its proper divisors (79343765120).

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

54509937280 is a wasteful number, since it uses less digits than its factorization.

54509937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 54509937280 in words is "fifty-four billion, five hundred nine million, nine hundred thirty-seven thousand, two hundred eighty".