6255667681200 has 960 divisors, whose sum is σ = 26184353776640. Its totient is φ = 1406342476800.

The previous prime is 6255667681171. The next prime is 6255667681201. The reversal of 6255667681200 is 21867665526.

6255667681200 is a `hidden beast` number, since 6 + 2 + 5 + 566 + 7 + 68 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×6255667681200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6255667681201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 373531227 + ... + 373547973.

Almost surely, 2^{6255667681200} is an apocalyptic number.

6255667681200 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 6255667681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092176888320).

6255667681200 is an abundant number, since it is smaller than the sum of its proper divisors (19928686095440).

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

6255667681200 is a wasteful number, since it uses less digits than its factorization.

6255667681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16854 (or 16825 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6255667681200 in words is "six trillion, two hundred fifty-five billion, six hundred sixty-seven million, six hundred eighty-one thousand, two hundred".