6855253171200 has 792 divisors, whose sum is σ = 29090613831552. Its totient is φ = 1566905057280.

The previous prime is 6855253171199. The next prime is 6855253171241. The reversal of 6855253171200 is 21713525586.

6855253171200 is a `hidden beast` number, since 6 + 8 + 5 + 525 + 31 + 71 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 43466887 + ... + 43624313.

Almost surely, 2^{6855253171200} is an apocalyptic number.

6855253171200 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 6855253171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545306915776).

6855253171200 is an abundant number, since it is smaller than the sum of its proper divisors (22235360660352).

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

6855253171200 is a wasteful number, since it uses less digits than its factorization.

6855253171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157479 (or 157444 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

Adding to 6855253171200 its reverse (21713525586), we get a palindrome (6876966696786).

The spelling of 6855253171200 in words is "six trillion, eight hundred fifty-five billion, two hundred fifty-three million, one hundred seventy-one thousand, two hundred".