57785909769 has 27 divisors (see below), whose sum is σ = 97104535437. Its totient is φ = 33017635224.

The previous prime is 57785909761. The next prime is 57785909777. The reversal of 57785909769 is 96790958775.

The square root of 57785909769 is 240387.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (57785909761) and next prime (57785909777).

It is not a de Polignac number, because 57785909769 - 2³ = 57785909761 is a prime.

It is a super-2 number, since 2×57785909769² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57785909697 and 57785909706.

It is not an unprimeable number, because it can be changed into a prime (57785909761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5042404 + ... + 5053850.

Almost surely, 2^57785909769 is an apocalyptic number.

57785909769 is the 240387-th square number.

57785909769 is the 120194-th centered octagonal number.

It is an amenable number.

57785909769 is a deficient number, since it is larger than the sum of its proper divisors (39318625668).

57785909769 is an frugal number, since it uses more digits than its factorization.

57785909769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22914 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 57785909769 in words is "fifty-seven billion, seven hundred eighty-five million, nine hundred nine thousand, seven hundred sixty-nine".