54638344080 has 480 divisors, whose sum is σ = 206589277440. Its totient is φ = 12859637760.

The previous prime is 54638344069. The next prime is 54638344151. The reversal of 54638344080 is 8044383645.

54638344080 is a `hidden beast` number, since 5 + 4 + 638 + 3 + 4 + 4 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 23952540 + ... + 23954820.

It is an arithmetic number, because the mean of its divisors is an integer number (430394328).

Almost surely, 2^54638344080 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 54638344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103294638720).

54638344080 is an abundant number, since it is smaller than the sum of its proper divisors (151950933360).

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

54638344080 is a wasteful number, since it uses less digits than its factorization.

54638344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 54638344080 in words is "fifty-four billion, six hundred thirty-eight million, three hundred forty-four thousand, eighty".