57134935231680 has 448 divisors, whose sum is σ = 192691383252480. Its totient is φ = 14293737209856.

The previous prime is 57134935231669. The next prime is 57134935231709. The reversal of 57134935231680 is 8613253943175.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57134935231680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9102264702 + ... + 9102270978.

It is an arithmetic number, because the mean of its divisors is an integer number (430114694760).

It is a 1-persistent number, because it is pandigital, but 2⋅57134935231680 = 114269870463360 is not.

Almost surely, 2^{57134935231680} 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 57134935231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96345691626240).

57134935231680 is an abundant number, since it is smaller than the sum of its proper divisors (135556448020800).

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

57134935231680 is a wasteful number, since it uses less digits than its factorization.

57134935231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 57134935231680 in words is "fifty-seven trillion, one hundred thirty-four billion, nine hundred thirty-five million, two hundred thirty-one thousand, six hundred eighty".