6858208051200 has 1944 divisors, whose sum is σ = 28790001775080. Its totient is φ = 1605264998400.

The previous prime is 6858208051183. The next prime is 6858208051237. The reversal of 6858208051200 is 21508028586.

6858208051200 is a `hidden beast` number, since 6 + 8 + 58 + 2 + 0 + 80 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×6858208051200³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 236489932786 + ... + 236489932814.

It is an arithmetic number, because the mean of its divisors is an integer number (14809671695).

Almost surely, 2^{6858208051200} is an apocalyptic number.

6858208051200 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 6858208051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395000887540).

6858208051200 is an abundant number, since it is smaller than the sum of its proper divisors (21931793723880).

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

6858208051200 is an frugal number, since it uses more digits than its factorization.

6858208051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 6858208051200 in words is "six trillion, eight hundred fifty-eight billion, two hundred eight million, fifty-one thousand, two hundred".