57044505178240 has 128 divisors (see below), whose sum is σ = 136749960270000. Its totient is φ = 22754594193408.

The previous prime is 57044505178237. The next prime is 57044505178267. The reversal of 57044505178240 is 4287150544075.

57044505178240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11546458368064 + 45498046810176 = 3398008^2 + 6745224^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091755636 + ... + 1091807884.

Almost surely, 2^{57044505178240} 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 57044505178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68374980135000).

57044505178240 is an abundant number, since it is smaller than the sum of its proper divisors (79705455091760).

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

57044505178240 is a wasteful number, since it uses less digits than its factorization.

57044505178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56962 (or 56950 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 52.

The spelling of 57044505178240 in words is "fifty-seven trillion, forty-four billion, five hundred five million, one hundred seventy-eight thousand, two hundred forty".