57009643265376 has 576 divisors, whose sum is σ = 174800856384000. Its totient is φ = 18072990397440.

The previous prime is 57009643265371. The next prime is 57009643265423. The reversal of 57009643265376 is 67356234690075.

57009643265376 is a `hidden beast` number, since 5 + 7 + 0 + 0 + 9 + 64 + 32 + 6 + 537 + 6 = 666.

57009643265376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57009643265376² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57009643265371) by changing a digit.

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, 13714129090 + ... + 13714133246.

It is an arithmetic number, because the mean of its divisors is an integer number (303473709000).

Almost surely, 2^{57009643265376} 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 57009643265376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87400428192000).

57009643265376 is an abundant number, since it is smaller than the sum of its proper divisors (117791213118624).

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

57009643265376 is a wasteful number, since it uses less digits than its factorization.

57009643265376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 57009643265376 in words is "fifty-seven trillion, nine billion, six hundred forty-three million, two hundred sixty-five thousand, three hundred seventy-six".