6256051200 has 660 divisors, whose sum is σ = 26536194432. Its totient is φ = 1426636800.

The previous prime is 6256051199. The next prime is 6256051271. The reversal of 6256051200 is 21506526.

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

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 59 ways as a sum of consecutive naturals, for example, 14514985 + ... + 14515415.

Almost surely, 2^6256051200 is an apocalyptic number.

6256051200 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 6256051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268097216).

6256051200 is an abundant number, since it is smaller than the sum of its proper divisors (20280143232).

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

6256051200 is a wasteful number, since it uses less digits than its factorization.

6256051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6256051200 is about 79095.2033943905. The cubic root of 6256051200 is about 1842.6100325388.

Adding to 6256051200 its reverse (21506526), we get a palindrome (6277557726).

The spelling of 6256051200 in words is "six billion, two hundred fifty-six million, fifty-one thousand, two hundred".