54128954880 has 960 divisors, whose sum is σ = 251806883328. Its totient is φ = 10377953280.

The previous prime is 54128954879. The next prime is 54128954903. The reversal of 54128954880 is 8845982145.

54128954880 is a `hidden beast` number, since 5 + 4 + 12 + 8 + 9 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23061867 + ... + 23064213.

Almost surely, 2^54128954880 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 54128954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125903441664).

54128954880 is an abundant number, since it is smaller than the sum of its proper divisors (197677928448).

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

54128954880 is a wasteful number, since it uses less digits than its factorization.

54128954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 54128954880 in words is "fifty-four billion, one hundred twenty-eight million, nine hundred fifty-four thousand, eight hundred eighty".