54909308520 has 768 divisors, whose sum is σ = 211168788480. Its totient is φ = 12241152000.

The previous prime is 54909308483. The next prime is 54909308521. The reversal of 54909308520 is 2580390945.

54909308520 is a `hidden beast` number, since 5 + 4 + 90 + 9 + 30 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54909308521) 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 191 ways as a sum of consecutive naturals, for example, 432356697 + ... + 432356823.

It is an arithmetic number, because the mean of its divisors is an integer number (274959360).

Almost surely, 2^54909308520 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 54909308520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105584394240).

54909308520 is an abundant number, since it is smaller than the sum of its proper divisors (156259479960).

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

54909308520 is a wasteful number, since it uses less digits than its factorization.

54909308520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54909308520 in words is "fifty-four billion, nine hundred nine million, three hundred eight thousand, five hundred twenty".