54059406336 has 396 divisors, whose sum is σ = 172099191420. Its totient is φ = 16332226560.

The previous prime is 54059406329. The next prime is 54059406341. The reversal of 54059406336 is 63360495045.

54059406336 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 9 + 4 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31917966336 + 22141440000 = 178656^2 + 148800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54059406291 and 54059406300.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 95007460 + ... + 95008028.

Almost surely, 2^54059406336 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 54059406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86049595710).

54059406336 is an abundant number, since it is smaller than the sum of its proper divisors (118039785084).

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

54059406336 is a wasteful number, since it uses less digits than its factorization.

54059406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 54059406336 in words is "fifty-four billion, fifty-nine million, four hundred six thousand, three hundred thirty-six".