57434663520 has 432 divisors, whose sum is σ = 220117755312. Its totient is φ = 14136145920.

The previous prime is 57434663497. The next prime is 57434663527. The reversal of 57434663520 is 2536643475.

57434663520 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 4 + 6 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57434663527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6566350 + ... + 6575090.

It is an arithmetic number, because the mean of its divisors is an integer number (509531841).

Almost surely, 2^57434663520 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 57434663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110058877656).

57434663520 is an abundant number, since it is smaller than the sum of its proper divisors (162683091792).

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

57434663520 is a wasteful number, since it uses less digits than its factorization.

57434663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 57434663520 in words is "fifty-seven billion, four hundred thirty-four million, six hundred sixty-three thousand, five hundred twenty".