57083400000 has 1008 divisors, whose sum is σ = 236442991680. Its totient is φ = 13392000000.

The previous prime is 57083399993. The next prime is 57083400007. The reversal of 57083400000 is 438075.

57083400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57083399993) and next prime (57083400007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57083400007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1841399985 + ... + 1841400015.

It is an arithmetic number, because the mean of its divisors is an integer number (234566460).

Almost surely, 2^57083400000 is an apocalyptic number.

57083400000 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 57083400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118221495840).

57083400000 is an abundant number, since it is smaller than the sum of its proper divisors (179359591680).

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

57083400000 is an equidigital number, since it uses as much as digits as its factorization.

57083400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 57083400000 its reverse (438075), we get a palindrome (57083838075).

The spelling of 57083400000 in words is "fifty-seven billion, eighty-three million, four hundred thousand".