6853545153504 has 576 divisors, whose sum is σ = 24842416435200. Its totient is φ = 1744784769024.

The previous prime is 6853545153491. The next prime is 6853545153551. The reversal of 6853545153504 is 4053515453586.

6853545153504 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 54 + 51 + 535 + 0 + 4 = 666.

It is a super-2 number, since 2×6853545153504² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1347264049 + ... + 1347269135.

It is an arithmetic number, because the mean of its divisors is an integer number (43129195200).

Almost surely, 2^{6853545153504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6853545153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421208217600).

6853545153504 is an abundant number, since it is smaller than the sum of its proper divisors (17988871281696).

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

6853545153504 is a wasteful number, since it uses less digits than its factorization.

6853545153504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 6853545153504 in words is "six trillion, eight hundred fifty-three billion, five hundred forty-five million, one hundred fifty-three thousand, five hundred four".