6057432000000 has 420 divisors, whose sum is σ = 21852678641508. Its totient is φ = 1615296000000.

The previous prime is 6057431999999. The next prime is 6057432000001. The reversal of 6057432000000 is 2347506.

It is a happy number.

6057432000000 is a `hidden beast` number, since 60 + 574 + 32 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6057431999999) and next prime (6057432000001).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057432000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71957935 + ... + 72042065.

Almost surely, 2^{6057432000000} is an apocalyptic number.

6057432000000 is a gapful number since it is divisible by the number (60) 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 6057432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926339320754).

6057432000000 is an abundant number, since it is smaller than the sum of its proper divisors (15795246641508).

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

6057432000000 is an frugal number, since it uses more digits than its factorization.

6057432000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84185 (or 84141 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 6057432000000 its reverse (2347506), we get a palindrome (6057434347506).

The spelling of 6057432000000 in words is "six trillion, fifty-seven billion, four hundred thirty-two million", and thus it is an aban number.