6828927251160 has 256 divisors, whose sum is σ = 24561970329600. Its totient is φ = 1485846835200.

The previous prime is 6828927251141. The next prime is 6828927251161. The reversal of 6828927251160 is 611527298286.

It is a self number, because there is not a number n which added to its sum of digits gives 6828927251160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828927251161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244621 + ... + 3703740.

It is an arithmetic number, because the mean of its divisors is an integer number (95945196600).

Almost surely, 2^{6828927251160} is an apocalyptic number.

6828927251160 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 6828927251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280985164800).

6828927251160 is an abundant number, since it is smaller than the sum of its proper divisors (17733043078440).

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

6828927251160 is a wasteful number, since it uses less digits than its factorization.

6828927251160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948482 (or 3948478 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 6828927251160 in words is "six trillion, eight hundred twenty-eight billion, nine hundred twenty-seven million, two hundred fifty-one thousand, one hundred sixty".