6852890386944 has 2160 divisors, whose sum is σ = 26442480430080. Its totient is φ = 1760775045120.

The previous prime is 6852890386939. The next prime is 6852890386963. The reversal of 6852890386944 is 4496830982586.

It is a happy number.

6852890386944 is a `hidden beast` number, since 6 + 8 + 528 + 9 + 0 + 3 + 8 + 6 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86745447897 + ... + 86745447975.

It is an arithmetic number, because the mean of its divisors is an integer number (12241889088).

Almost surely, 2^{6852890386944} is an apocalyptic number.

6852890386944 is a gapful number since it is divisible by the number (64) 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 6852890386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221240215040).

6852890386944 is an abundant number, since it is smaller than the sum of its proper divisors (19589590043136).

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

6852890386944 is an frugal number, since it uses more digits than its factorization.

6852890386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 6852890386944 in words is "six trillion, eight hundred fifty-two billion, eight hundred ninety million, three hundred eighty-six thousand, nine hundred forty-four".