53755936440336 has 405 divisors, whose sum is σ = 166933922009751. Its totient is φ = 16140849274368.

The previous prime is 53755936440257. The next prime is 53755936440361. The reversal of 53755936440336 is 63304463955735.

The square root of 53755936440336 is 7331844.

It is a perfect power (a square), and thus also a powerful number.

53755936440336 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 593 + 6 + 4 + 4 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3928149585936 + 49827786854400 = 1981956^2 + 7058880^2 .

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 80 ways as a sum of consecutive naturals, for example, 49182009006 + ... + 49182010098.

Almost surely, 2^{53755936440336} is an apocalyptic number.

53755936440336 is the 7331844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53755936440336

53755936440336 is an abundant number, since it is smaller than the sum of its proper divisors (113177985569415).

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

53755936440336 is a wasteful number, since it uses less digits than its factorization.

53755936440336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 63.

The spelling of 53755936440336 in words is "fifty-three trillion, seven hundred fifty-five billion, nine hundred thirty-six million, four hundred forty thousand, three hundred thirty-six".