54054647968608 has 2880 divisors, whose sum is σ = 212896708577280. Its totient is φ = 12904825651200.

The previous prime is 54054647968553. The next prime is 54054647968631. The reversal of 54054647968608 is 80686974645045.

It is a happy number.

54054647968608 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 4 + 6 + 4 + 7 + 9 + 6 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 479 ways as a sum of consecutive naturals, for example, 256183165623 + ... + 256183165833.

It is an arithmetic number, because the mean of its divisors is an integer number (73922468256).

Almost surely, 2^{54054647968608} 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 54054647968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106448354288640).

54054647968608 is an abundant number, since it is smaller than the sum of its proper divisors (158842060608672).

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

54054647968608 is a wasteful number, since it uses less digits than its factorization.

54054647968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 54054647968608 in words is "fifty-four trillion, fifty-four billion, six hundred forty-seven million, nine hundred sixty-eight thousand, six hundred eight".