6552258508800 has 432 divisors, whose sum is σ = 23748776152920. Its totient is φ = 1726207426560.

The previous prime is 6552258508799. The next prime is 6552258508801. The reversal of 6552258508800 is 88058522556.

6552258508800 is a `hidden beast` number, since 6 + 5 + 5 + 2 + 2 + 58 + 508 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6552258508799) and next prime (6552258508801).

It is a super-2 number, since 2×6552258508800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552258508801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38160742 + ... + 38332058.

Almost surely, 2^{6552258508800} is an apocalyptic number.

6552258508800 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 6552258508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874388076460).

6552258508800 is an abundant number, since it is smaller than the sum of its proper divisors (17196517644120).

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

6552258508800 is a wasteful number, since it uses less digits than its factorization.

6552258508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171438 (or 171410 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 6552258508800 in words is "six trillion, five hundred fifty-two billion, two hundred fifty-eight million, five hundred eight thousand, eight hundred".