54949227840 has 1008 divisors, whose sum is σ = 225149511600. Its totient is φ = 12237668352.

The previous prime is 54949227797. The next prime is 54949227871. The reversal of 54949227840 is 4872294945.

It is a happy number.

54949227840 is a `hidden beast` number, since 5 + 49 + 492 + 2 + 78 + 40 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 29752110144 + 25197117696 = 172488^2 + 158736^2 .

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 239952846 + ... + 239953074.

Almost surely, 2^54949227840 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 54949227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112574755800).

54949227840 is an abundant number, since it is smaller than the sum of its proper divisors (170200283760).

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

54949227840 is a wasteful number, since it uses less digits than its factorization.

54949227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 54949227840 in words is "fifty-four billion, nine hundred forty-nine million, two hundred twenty-seven thousand, eight hundred forty".