6855300975600 has 1440 divisors, whose sum is σ = 30048692903424. Its totient is φ = 1405950566400.

The previous prime is 6855300975583. The next prime is 6855300975617. The reversal of 6855300975600 is 65790035586.

It is an interprime number because it is at equal distance from previous prime (6855300975583) and next prime (6855300975617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7816762362 + ... + 7816763238.

Almost surely, 2^{6855300975600} is an apocalyptic number.

6855300975600 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 6855300975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024346451712).

6855300975600 is an abundant number, since it is smaller than the sum of its proper divisors (23193391927824).

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

6855300975600 is a wasteful number, since it uses less digits than its factorization.

6855300975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 6855300975600 in words is "six trillion, eight hundred fifty-five billion, three hundred million, nine hundred seventy-five thousand, six hundred".