6854122851840 has 1120 divisors, whose sum is σ = 27339840316800. Its totient is φ = 1633154088960.

The previous prime is 6854122851817. The next prime is 6854122851887. The reversal of 6854122851840 is 481582214586.

It is a happy number.

6854122851840 is a `hidden beast` number, since 6 + 8 + 54 + 12 + 28 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1211186931 + ... + 1211192589.

Almost surely, 2^{6854122851840} is an apocalyptic number.

6854122851840 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 6854122851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669920158400).

6854122851840 is an abundant number, since it is smaller than the sum of its proper divisors (20485717464960).

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

6854122851840 is an equidigital number, since it uses as much as digits as its factorization.

6854122851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 6854122851840 in words is "six trillion, eight hundred fifty-four billion, one hundred twenty-two million, eight hundred fifty-one thousand, eight hundred forty".