57433548130560 has 2304 divisors, whose sum is σ = 254460159313920. Its totient is φ = 12118604120064.

The previous prime is 57433548130547. The next prime is 57433548130583. The reversal of 57433548130560 is 6503184533475.

57433548130560 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 3 + 5 + 48 + 1 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×57433548130560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57433548130497 and 57433548130506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17655561894 + ... + 17655565146.

It is an arithmetic number, because the mean of its divisors is an integer number (110442777480).

Almost surely, 2^{57433548130560} 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 57433548130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127230079656960).

57433548130560 is an abundant number, since it is smaller than the sum of its proper divisors (197026611183360).

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

57433548130560 is an equidigital number, since it uses as much as digits as its factorization.

57433548130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 57433548130560 in words is "fifty-seven trillion, four hundred thirty-three billion, five hundred forty-eight million, one hundred thirty thousand, five hundred sixty".