57783038775 has 72 divisors (see below), whose sum is σ = 120010568832. Its totient is φ = 24013704000.

The previous prime is 57783038737. The next prime is 57783038837.

It is a happy number.

57783038775 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57783038775 - 2⁶ = 57783038711 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391281 + ... + 518330.

It is an arithmetic number, because the mean of its divisors is an integer number (1666813456).

Almost surely, 2^57783038775 is an apocalyptic number.

57783038775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57783038775 is an abundant number, since it is smaller than the sum of its proper divisors (62227530057).

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

57783038775 is a wasteful number, since it uses less digits than its factorization.

57783038775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909653 (or 909637 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 60.

It can be divided in two parts, 577830 and 38775, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 57783038775 in words is "fifty-seven billion, seven hundred eighty-three million, thirty-eight thousand, seven hundred seventy-five".