54678228120 has 512 divisors, whose sum is σ = 208147968000. Its totient is φ = 12680478720.

The previous prime is 54678228097. The next prime is 54678228127. The reversal of 54678228120 is 2182287645.

54678228120 is a `hidden beast` number, since 546 + 7 + 8 + 2 + 2 + 81 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54678228127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 14300529 + ... + 14304351.

It is an arithmetic number, because the mean of its divisors is an integer number (406539000).

Almost surely, 2^54678228120 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 54678228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104073984000).

54678228120 is an abundant number, since it is smaller than the sum of its proper divisors (153469739880).

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

54678228120 is a wasteful number, since it uses less digits than its factorization.

54678228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 54678228120 in words is "fifty-four billion, six hundred seventy-eight million, two hundred twenty-eight thousand, one hundred twenty".