6557067211200 has 336 divisors, whose sum is σ = 23474901081600. Its totient is φ = 1589147648000.

The previous prime is 6557067211169. The next prime is 6557067211213. The reversal of 6557067211200 is 21127607556.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213771865 + ... + 213802535.

Almost surely, 2^{6557067211200} is an apocalyptic number.

6557067211200 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 6557067211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737450540800).

6557067211200 is an abundant number, since it is smaller than the sum of its proper divisors (16917833870400).

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

6557067211200 is a wasteful number, since it uses less digits than its factorization.

6557067211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34756 (or 34741 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 6557067211200 in words is "six trillion, five hundred fifty-seven billion, sixty-seven million, two hundred eleven thousand, two hundred".