54144882792 has 288 divisors, whose sum is σ = 200408251680. Its totient is φ = 12981669120.

The previous prime is 54144882763. The next prime is 54144882817. The reversal of 54144882792 is 29728844145.

54144882792 is a `hidden beast` number, since 54 + 1 + 4 + 488 + 27 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 450843 + ... + 558165.

It is an arithmetic number, because the mean of its divisors is an integer number (695861985).

Almost surely, 2^54144882792 is an apocalyptic number.

54144882792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144882792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100204125840).

54144882792 is an abundant number, since it is smaller than the sum of its proper divisors (146263368888).

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

54144882792 is a wasteful number, since it uses less digits than its factorization.

54144882792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107373 (or 107359 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 54144882792 in words is "fifty-four billion, one hundred forty-four million, eight hundred eighty-two thousand, seven hundred ninety-two".