54288442080 has 240 divisors, whose sum is σ = 191808706320. Its totient is φ = 14460622848.

The previous prime is 54288442079. The next prime is 54288442093. The reversal of 54288442080 is 8024488245.

54288442080 is a `hidden beast` number, since 54 + 2 + 88 + 442 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15381756 + ... + 15385284.

It is an arithmetic number, because the mean of its divisors is an integer number (799202943).

Almost surely, 2^54288442080 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 54288442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95904353160).

54288442080 is an abundant number, since it is smaller than the sum of its proper divisors (137520264240).

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

54288442080 is a wasteful number, since it uses less digits than its factorization.

54288442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 54288442080 in words is "fifty-four billion, two hundred eighty-eight million, four hundred forty-two thousand, eighty".