54738604045440 has 384 divisors, whose sum is σ = 217141306761600. Its totient is φ = 12446851792896.

The previous prime is 54738604045417. The next prime is 54738604045471. The reversal of 54738604045440 is 4454040683745.

54738604045440 is a `hidden beast` number, since 5 + 4 + 7 + 38 + 60 + 4 + 0 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4264651 + ... + 11298869.

It is an arithmetic number, because the mean of its divisors is an integer number (565472153025).

Almost surely, 2^{54738604045440} 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 54738604045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108570653380800).

54738604045440 is an abundant number, since it is smaller than the sum of its proper divisors (162402702716160).

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

54738604045440 is a wasteful number, since it uses less digits than its factorization.

54738604045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034444 (or 7034429 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 54738604045440 in words is "fifty-four trillion, seven hundred thirty-eight billion, six hundred four million, forty-five thousand, four hundred forty".