54724940928 has 256 divisors, whose sum is σ = 184833792000. Its totient is φ = 15614899200.

The previous prime is 54724940927. The next prime is 54724940951. The reversal of 54724940928 is 82904942745.

It is a happy number.

54724940928 is a `hidden beast` number, since 5 + 472 + 49 + 40 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (54724940923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35101813 + ... + 35103371.

It is an arithmetic number, because the mean of its divisors is an integer number (722007000).

Almost surely, 2^54724940928 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 54724940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92416896000).

54724940928 is an abundant number, since it is smaller than the sum of its proper divisors (130108851072).

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

54724940928 is a wasteful number, since it uses less digits than its factorization.

54724940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3022 counting only the distinct ones).

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

The spelling of 54724940928 in words is "fifty-four billion, seven hundred twenty-four million, nine hundred forty thousand, nine hundred twenty-eight".