54282879768 has 288 divisors, whose sum is σ = 156826549440. Its totient is φ = 15647074560.

The previous prime is 54282879751. The next prime is 54282879797. The reversal of 54282879768 is 86797828245.

It is a junction number, because it is equal to n+sod(n) for n = 54282879699 and 54282879708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191812155 + ... + 191812437.

It is an arithmetic number, because the mean of its divisors is an integer number (544536630).

Almost surely, 2^54282879768 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 54282879768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78413274720).

54282879768 is an abundant number, since it is smaller than the sum of its proper divisors (102543669672).

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

54282879768 is a wasteful number, since it uses less digits than its factorization.

54282879768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 451 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 66.

The spelling of 54282879768 in words is "fifty-four billion, two hundred eighty-two million, eight hundred seventy-nine thousand, seven hundred sixty-eight".