54936938880 has 1024 divisors, whose sum is σ = 220813516800. Its totient is φ = 12833390592.

The previous prime is 54936938873. The next prime is 54936938893. The reversal of 54936938880 is 8883963945.

54936938880 is a `hidden beast` number, since 5 + 493 + 69 + 3 + 8 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 317554474 + ... + 317554646.

It is an arithmetic number, because the mean of its divisors is an integer number (215638200).

Almost surely, 2^54936938880 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 54936938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110406758400).

54936938880 is an abundant number, since it is smaller than the sum of its proper divisors (165876577920).

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

54936938880 is a wasteful number, since it uses less digits than its factorization.

54936938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 54936938880 in words is "fifty-four billion, nine hundred thirty-six million, nine hundred thirty-eight thousand, eight hundred eighty".