57543440800 has 36 divisors (see below), whose sum is σ = 140477926806. Its totient is φ = 23017376000.

The previous prime is 57543440789. The next prime is 57543440807. The reversal of 57543440800 is 804434575.

It can be written as a sum of positive squares in 3 ways, for example, as 53825856016 + 3717584784 = 232004^2 + 60972^2 .

It is a super-2 number, since 2×57543440800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (57543440807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 35963851 + ... + 35965450.

Almost surely, 2^57543440800 is an apocalyptic number.

57543440800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57543440800 is an abundant number, since it is smaller than the sum of its proper divisors (82934486006).

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

57543440800 is a wasteful number, since it uses less digits than its factorization.

57543440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71929321 (or 71929308 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 57543440800 in words is "fifty-seven billion, five hundred forty-three million, four hundred forty thousand, eight hundred".