6556925323200 has 1344 divisors, whose sum is σ = 27529842263040. Its totient is φ = 1330076712960.

The previous prime is 6556925323147. The next prime is 6556925323213. The reversal of 6556925323200 is 23235296556.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6556925323200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2528701104 + ... + 2528703696.

Almost surely, 2^{6556925323200} is an apocalyptic number.

6556925323200 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 6556925323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764921131520).

6556925323200 is an abundant number, since it is smaller than the sum of its proper divisors (20972916939840).

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

6556925323200 is a wasteful number, since it uses less digits than its factorization.

6556925323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 6556925323200 in words is "six trillion, five hundred fifty-six billion, nine hundred twenty-five million, three hundred twenty-three thousand, two hundred".