57440352288 has 96 divisors (see below), whose sum is σ = 164569612032. Its totient is φ = 17397561600.

The previous prime is 57440352257. The next prime is 57440352289. The reversal of 57440352288 is 88225304475.

57440352288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57440352289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314023 + ... + 2338713.

It is an arithmetic number, because the mean of its divisors is an integer number (1714266792).

Almost surely, 2^57440352288 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 57440352288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82284806016).

57440352288 is an abundant number, since it is smaller than the sum of its proper divisors (107129259744).

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

57440352288 is a wasteful number, since it uses less digits than its factorization.

57440352288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26918 (or 26910 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 57440352288 in words is "fifty-seven billion, four hundred forty million, three hundred fifty-two thousand, two hundred eighty-eight".