57032114400 has 216 divisors, whose sum is σ = 203103266184. Its totient is φ = 15057792000.

The previous prime is 57032114387. The next prime is 57032114411. The reversal of 57032114400 is 441123075.

57032114400 is a `hidden beast` number, since 5 + 7 + 0 + 3 + 211 + 440 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687987 + ... + 766413.

It is an arithmetic number, because the mean of its divisors is an integer number (940292899).

Almost surely, 2^57032114400 is an apocalyptic number.

57032114400 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 57032114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101551633092).

57032114400 is an abundant number, since it is smaller than the sum of its proper divisors (146071151784).

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

57032114400 is a wasteful number, since it uses less digits than its factorization.

57032114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78554 (or 78538 counting only the distinct ones).

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

Adding to 57032114400 its reverse (441123075), we get a palindrome (57473237475).

The spelling of 57032114400 in words is "fifty-seven billion, thirty-two million, one hundred fourteen thousand, four hundred".