57403231026064 has 405 divisors, whose sum is σ = 151169391947889. Its totient is φ = 21034766269440.

The previous prime is 57403231025999. The next prime is 57403231026083. The reversal of 57403231026064 is 46062013230475.

The square root of 57403231026064 is 7576492.

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

57403231026064 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 only one way, i.e., 44691096819600 + 12712134206464 = 6685140^2 + 3565408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57403231026064.

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 80 ways as a sum of consecutive naturals, for example, 39670511389 + ... + 39670512835.

Almost surely, 2^{57403231026064} is an apocalyptic number.

57403231026064 is the 7576492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57403231026064

57403231026064 is an abundant number, since it is smaller than the sum of its proper divisors (93766160921825).

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

57403231026064 is a wasteful number, since it uses less digits than its factorization.

57403231026064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 57403231026064 in words is "fifty-seven trillion, four hundred three billion, two hundred thirty-one million, twenty-six thousand, sixty-four".