6885009331200 has 5280 divisors, whose sum is σ = 35664645316608. Its totient is φ = 1266057216000.

The previous prime is 6885009331159. The next prime is 6885009331217. The reversal of 6885009331200 is 21339005886.

It is a happy number.

6885009331200 is a `hidden beast` number, since 6 + 8 + 8 + 500 + 93 + 31 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×6885009331200² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 64345881547 + ... + 64345881653.

Almost surely, 2^{6885009331200} is an apocalyptic number.

6885009331200 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 6885009331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17832322658304).

6885009331200 is an abundant number, since it is smaller than the sum of its proper divisors (28779635985408).

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

6885009331200 is a wasteful number, since it uses less digits than its factorization.

6885009331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6885009331200 in words is "six trillion, eight hundred eighty-five billion, nine million, three hundred thirty-one thousand, two hundred".