57785411264 has 112 divisors (see below), whose sum is σ = 136799726400. Its totient is φ = 23700418560.

The previous prime is 57785411221. The next prime is 57785411267. The reversal of 57785411264 is 46211458775.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (57785411267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982562 + ... + 1039710.

Almost surely, 2^57785411264 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 57785411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68399863200).

57785411264 is an abundant number, since it is smaller than the sum of its proper divisors (79014315136).

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

57785411264 is a wasteful number, since it uses less digits than its factorization.

57785411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57266 (or 57256 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 50.

The spelling of 57785411264 in words is "fifty-seven billion, seven hundred eighty-five million, four hundred eleven thousand, two hundred sixty-four".