57735142824 has 64 divisors (see below), whose sum is σ = 152985801600. Its totient is φ = 18094321664.

The previous prime is 57735142799. The next prime is 57735142867. The reversal of 57735142824 is 42824153775.

It is a happy number.

It is a super-4 number, since 4×57735142824⁴ (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

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, 326197 + ... + 471035.

It is an arithmetic number, because the mean of its divisors is an integer number (2390403150).

Almost surely, 2^57735142824 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 57735142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76492900800).

57735142824 is an abundant number, since it is smaller than the sum of its proper divisors (95250658776).

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

57735142824 is a wasteful number, since it uses less digits than its factorization.

57735142824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145842 (or 145838 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The spelling of 57735142824 in words is "fifty-seven billion, seven hundred thirty-five million, one hundred forty-two thousand, eight hundred twenty-four".