54840579168 has 192 divisors, whose sum is σ = 155270062080. Its totient is φ = 16895692800.

The previous prime is 54840578983. The next prime is 54840579179. The reversal of 54840579168 is 86197504845.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 14128588 + ... + 14132468.

It is an arithmetic number, because the mean of its divisors is an integer number (808698240).

Almost surely, 2^54840579168 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 54840579168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77635031040).

54840579168 is an abundant number, since it is smaller than the sum of its proper divisors (100429482912).

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

54840579168 is a wasteful number, since it uses less digits than its factorization.

54840579168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 54840579168 in words is "fifty-four billion, eight hundred forty million, five hundred seventy-nine thousand, one hundred sixty-eight".