57800043061200 has 960 divisors, whose sum is σ = 229419416217600. Its totient is φ = 13702945996800.

The previous prime is 57800043061157. The next prime is 57800043061207. The reversal of 57800043061200 is 216034000875.

57800043061200 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 0 + 0 + 4 + 30 + 612 + 0 + 0 = 666.

57800043061200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57800043061207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1352754237 + ... + 1352796963.

It is an arithmetic number, because the mean of its divisors is an integer number (238978558560).

Almost surely, 2^{57800043061200} is an apocalyptic number.

57800043061200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57800043061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114709708108800).

57800043061200 is an abundant number, since it is smaller than the sum of its proper divisors (171619373156400).

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

57800043061200 is a wasteful number, since it uses less digits than its factorization.

57800043061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43017 (or 43000 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 57800043061200 in words is "fifty-seven trillion, eight hundred billion, forty-three million, sixty-one thousand, two hundred".