6525366220800 has 2160 divisors, whose sum is σ = 28430524001880. Its totient is φ = 1474837217280.

The previous prime is 6525366220721. The next prime is 6525366220817. The reversal of 6525366220800 is 80226635256.

6525366220800 is a `hidden beast` number, since 6 + 52 + 536 + 62 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 33123686302 + ... + 33123686498.

Almost surely, 2^{6525366220800} is an apocalyptic number.

6525366220800 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 6525366220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215262000940).

6525366220800 is an abundant number, since it is smaller than the sum of its proper divisors (21905157781080).

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

6525366220800 is a wasteful number, since it uses less digits than its factorization.

6525366220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 6525366220800 in words is "six trillion, five hundred twenty-five billion, three hundred sixty-six million, two hundred twenty thousand, eight hundred".