54638938080 has 144 divisors (see below), whose sum is σ = 189973667520. Its totient is φ = 14295450624.

The previous prime is 54638938007. The next prime is 54638938091. The reversal of 54638938080 is 8083983645.

It is a happy number.

54638938080 is a `hidden beast` number, since 54 + 63 + 89 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281640 + ... + 434279.

It is an arithmetic number, because the mean of its divisors is an integer number (1319261580).

Almost surely, 2^54638938080 is an apocalyptic number.

It is an amenable number.

54638938080 is an abundant number, since it is smaller than the sum of its proper divisors (135334729440).

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

54638938080 is a wasteful number, since it uses less digits than its factorization.

54638938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715993 (or 715982 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 54638938080 in words is "fifty-four billion, six hundred thirty-eight million, nine hundred thirty-eight thousand, eighty".