6057021400 has 96 divisors (see below), whose sum is σ = 14889560400. Its totient is φ = 2285107200.

The previous prime is 6057021379. The next prime is 6057021401. The reversal of 6057021400 is 41207506.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057021401) 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 23 ways as a sum of consecutive naturals, for example, 881980 + ... + 888820.

Almost surely, 2^6057021400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6057021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444780200).

6057021400 is an abundant number, since it is smaller than the sum of its proper divisors (8832539000).

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

6057021400 is a wasteful number, since it uses less digits than its factorization.

6057021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 6057021400 is about 77826.8681112121. The cubic root of 6057021400 is about 1822.8588287035.

Adding to 6057021400 its reverse (41207506), we get a palindrome (6098228906).

The spelling of 6057021400 in words is "six billion, fifty-seven million, twenty-one thousand, four hundred".