57340105000 has 80 divisors (see below), whose sum is σ = 138980902500. Its totient is φ = 22145088000.

The previous prime is 57340104977. The next prime is 57340105007. The reversal of 57340105000 is 50104375.

It can be written as a sum of positive squares in 10 ways, for example, as 4247650276 + 53092454724 = 65174^2 + 230418^2 .

It is a super-2 number, since 2×57340105000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (57340105007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 52725 + ... + 342724.

Almost surely, 2^57340105000 is an apocalyptic number.

57340105000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57340105000 is an abundant number, since it is smaller than the sum of its proper divisors (81640797500).

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

57340105000 is a wasteful number, since it uses less digits than its factorization.

57340105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395504 (or 395485 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

Adding to 57340105000 its reverse (50104375), we get a palindrome (57390209375).

The spelling of 57340105000 in words is "fifty-seven billion, three hundred forty million, one hundred five thousand".