6555227011200 has 1536 divisors, whose sum is σ = 28264151692800. Its totient is φ = 1452382617600.

The previous prime is 6555227011169. The next prime is 6555227011303. The reversal of 6555227011200 is 21107225556.

6555227011200 is a `hidden beast` number, since 6 + 5 + 5 + 522 + 7 + 0 + 1 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10226562880 + ... + 10226563520.

It is an arithmetic number, because the mean of its divisors is an integer number (18401140425).

Almost surely, 2^{6555227011200} is an apocalyptic number.

6555227011200 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 6555227011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132075846400).

6555227011200 is an abundant number, since it is smaller than the sum of its proper divisors (21708924681600).

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

6555227011200 is a wasteful number, since it uses less digits than its factorization.

6555227011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 6555227011200 in words is "six trillion, five hundred fifty-five billion, two hundred twenty-seven million, eleven thousand, two hundred".