54948948480 has 480 divisors, whose sum is σ = 207783576000. Its totient is φ = 13878853632.

The previous prime is 54948948473. The next prime is 54948948539. The reversal of 54948948480 is 8484984945.

54948948480 is a `hidden beast` number, since 549 + 4 + 8 + 9 + 4 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 11817196 + ... + 11821844.

It is an arithmetic number, because the mean of its divisors is an integer number (432882450).

Almost surely, 2^54948948480 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 54948948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103891788000).

54948948480 is an abundant number, since it is smaller than the sum of its proper divisors (152834627520).

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

54948948480 is an equidigital number, since it uses as much as digits as its factorization.

54948948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 54948948480 in words is "fifty-four billion, nine hundred forty-eight million, nine hundred forty-eight thousand, four hundred eighty".