6854593135104 has 960 divisors, whose sum is σ = 24388805016576. Its totient is φ = 1824768000000.

The previous prime is 6854593135087. The next prime is 6854593135123. The reversal of 6854593135104 is 4015313954586.

6854593135104 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 593 + 1 + 35 + 10 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246060354 + ... + 1246065854.

Almost surely, 2^{6854593135104} is an apocalyptic number.

6854593135104 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 6854593135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194402508288).

6854593135104 is an abundant number, since it is smaller than the sum of its proper divisors (17534211881472).

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

6854593135104 is a wasteful number, since it uses less digits than its factorization.

6854593135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 6854593135104 in words is "six trillion, eight hundred fifty-four billion, five hundred ninety-three million, one hundred thirty-five thousand, one hundred four".