57352441335126 has 192 divisors, whose sum is σ = 145619575234560. Its totient is φ = 14703544180800.

The previous prime is 57352441335109. The next prime is 57352441335131. The reversal of 57352441335126 is 62153314425375.

57352441335126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 35247661 + ... + 36838871.

It is an arithmetic number, because the mean of its divisors is an integer number (758435287680).

Almost surely, 2^{57352441335126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57352441335126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72809787617280).

57352441335126 is an abundant number, since it is smaller than the sum of its proper divisors (88267133899434).

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

57352441335126 is a wasteful number, since it uses less digits than its factorization.

57352441335126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591351 (or 1591320 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 51.

The spelling of 57352441335126 in words is "fifty-seven trillion, three hundred fifty-two billion, four hundred forty-one million, three hundred thirty-five thousand, one hundred twenty-six".