57013432924176 has 405 divisors, whose sum is σ = 166264062193047. Its totient is φ = 18237716720640.

The previous prime is 57013432924153. The next prime is 57013432924199. The reversal of 57013432924176 is 67142923431075.

The square root of 57013432924176 is 7550724.

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

57013432924176 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 3 + 4 + 329 + 241 + 76 = 666.

57013432924176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57013432924153) and next prime (57013432924199).

It can be written as a sum of positive squares in 4 ways, for example, as 40376823484176 + 16636609440000 = 6354276^2 + 4078800^2 .

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, 382640489350 + ... + 382640489498.

Almost surely, 2^{57013432924176} is an apocalyptic number.

57013432924176 is the 7550724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57013432924176

57013432924176 is an abundant number, since it is smaller than the sum of its proper divisors (109250629268871).

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

57013432924176 is a wasteful number, since it uses less digits than its factorization.

57013432924176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 57013432924176 in words is "fifty-seven trillion, thirteen billion, four hundred thirty-two million, nine hundred twenty-four thousand, one hundred seventy-six".