57785233258775 has 24 divisors (see below), whose sum is σ = 79985513587584. Its totient is φ = 41048284082400.

The previous prime is 57785233258757. The next prime is 57785233258799.

57785233258775 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-57785233258775 is a prime.

It is a super-2 number, since 2×57785233258775² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2443338419 + ... + 2443362068.

It is an arithmetic number, because the mean of its divisors is an integer number (3332729732816).

Almost surely, 2^{57785233258775} is an apocalyptic number.

57785233258775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57785233258775 is a deficient number, since it is larger than the sum of its proper divisors (22200280328809).

57785233258775 is a wasteful number, since it uses less digits than its factorization.

57785233258775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886700551 (or 4886700546 counting only the distinct ones).

The product of its digits is 3457440000, while the sum is 74.

The spelling of 57785233258775 in words is "fifty-seven trillion, seven hundred eighty-five billion, two hundred thirty-three million, two hundred fifty-eight thousand, seven hundred seventy-five".