57353484257280 has 1152 divisors, whose sum is σ = 208382368521600. Its totient is φ = 15128985600000.

The previous prime is 57353484257273. The next prime is 57353484257281. The reversal of 57353484257280 is 8275248435375.

57353484257280 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 3 + 484 + 2 + 5 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (57353484257281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143026145080 + ... + 143026145480.

It is an arithmetic number, because the mean of its divisors is an integer number (180887472675).

Almost surely, 2^{57353484257280} 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 57353484257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104191184260800).

57353484257280 is an abundant number, since it is smaller than the sum of its proper divisors (151028884264320).

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

57353484257280 is a wasteful number, since it uses less digits than its factorization.

57353484257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 63.

The spelling of 57353484257280 in words is "fifty-seven trillion, three hundred fifty-three billion, four hundred eighty-four million, two hundred fifty-seven thousand, two hundred eighty".