6805891123200 has 1728 divisors, whose sum is σ = 28179474523200. Its totient is φ = 1616412672000.

The previous prime is 6805891123091. The next prime is 6805891123231. The reversal of 6805891123200 is 23211985086.

6805891123200 is a `hidden beast` number, since 68 + 0 + 589 + 1 + 1 + 2 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 4690482475 + ... + 4690483925.

It is an arithmetic number, because the mean of its divisors is an integer number (16307566275).

Almost surely, 2^{6805891123200} is an apocalyptic number.

6805891123200 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 6805891123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089737261600).

6805891123200 is an abundant number, since it is smaller than the sum of its proper divisors (21373583400000).

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

6805891123200 is a wasteful number, since it uses less digits than its factorization.

6805891123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6805891123200 in words is "six trillion, eight hundred five billion, eight hundred ninety-one million, one hundred twenty-three thousand, two hundred".