6853862400000 has 2688 divisors, whose sum is σ = 30470429767680. Its totient is φ = 1327104000000.

The previous prime is 6853862399987. The next prime is 6853862400001. The reversal of 6853862400000 is 42683586.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6853862400001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112358399970 + ... + 112358400030.

It is an arithmetic number, because the mean of its divisors is an integer number (11335725360).

Almost surely, 2^{6853862400000} is an apocalyptic number.

6853862400000 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 6853862400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235214883840).

6853862400000 is an abundant number, since it is smaller than the sum of its proper divisors (23616567367680).

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

6853862400000 is an equidigital number, since it uses as much as digits as its factorization.

6853862400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 6853862400000 in words is "six trillion, eight hundred fifty-three billion, eight hundred sixty-two million, four hundred thousand".