6852135408300 has 1152 divisors, whose sum is σ = 28892672972800. Its totient is φ = 1369558886400.

The previous prime is 6852135408299. The next prime is 6852135408341. The reversal of 6852135408300 is 38045312586.

6852135408300 is a `hidden beast` number, since 6 + 8 + 5 + 21 + 3 + 540 + 83 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 378123240 + ... + 378141360.

Almost surely, 2^{6852135408300} is an apocalyptic number.

6852135408300 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 6852135408300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446336486400).

6852135408300 is an abundant number, since it is smaller than the sum of its proper divisors (22040537564500).

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

6852135408300 is a wasteful number, since it uses less digits than its factorization.

6852135408300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18195 (or 18170 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 6852135408300 in words is "six trillion, eight hundred fifty-two billion, one hundred thirty-five million, four hundred eight thousand, three hundred".