6600253663872 has 288 divisors, whose sum is σ = 21409518667680. Its totient is φ = 1935554688000.

The previous prime is 6600253663831. The next prime is 6600253663937. The reversal of 6600253663872 is 2783663520066.

6600253663872 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 2 + 536 + 6 + 38 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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, 11906797 + ... + 12448787.

It is an arithmetic number, because the mean of its divisors is an integer number (74338606485).

Almost surely, 2^{6600253663872} is an apocalyptic number.

6600253663872 is a gapful number since it is divisible by the number (62) 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 6600253663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704759333840).

6600253663872 is an abundant number, since it is smaller than the sum of its proper divisors (14809265003808).

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

6600253663872 is a wasteful number, since it uses less digits than its factorization.

6600253663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542084 (or 542038 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 6600253663872 in words is "six trillion, six hundred billion, two hundred fifty-three million, six hundred sixty-three thousand, eight hundred seventy-two".