54928713840 has 960 divisors, whose sum is σ = 235964897280. Its totient is φ = 10389012480.

The previous prime is 54928713793. The next prime is 54928713857. The reversal of 54928713840 is 4831782945.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 149669337 + ... + 149669703.

It is an arithmetic number, because the mean of its divisors is an integer number (245796768).

Almost surely, 2^54928713840 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 54928713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117982448640).

54928713840 is an abundant number, since it is smaller than the sum of its proper divisors (181036183440).

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

54928713840 is a wasteful number, since it uses less digits than its factorization.

54928713840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 54928713840 in words is "fifty-four billion, nine hundred twenty-eight million, seven hundred thirteen thousand, eight hundred forty".