54326806560 has 288 divisors, whose sum is σ = 201001273200. Its totient is φ = 13282320384.

The previous prime is 54326806549. The next prime is 54326806577. The reversal of 54326806560 is 6560862345.

54326806560 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 6 + 80 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8655697296 + 45671109264 = 93036^2 + 213708^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×54326806560² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2779542 + ... + 2799018.

Almost surely, 2^54326806560 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 54326806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100500636600).

54326806560 is an abundant number, since it is smaller than the sum of its proper divisors (146674466640).

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

54326806560 is a wasteful number, since it uses less digits than its factorization.

54326806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19660 (or 19649 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54326806560 in words is "fifty-four billion, three hundred twenty-six million, eight hundred six thousand, five hundred sixty".