73845211312800 has 288 divisors, whose sum is σ = 268339282061760. Its totient is φ = 19598727859200.

The previous prime is 73845211312799. The next prime is 73845211312819. The reversal of 73845211312800 is 821311254837.

73845211312800 is a `hidden beast` number, since 7 + 3 + 8 + 45 + 211 + 312 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3543727 + ... + 12658926.

It is an arithmetic number, because the mean of its divisors is an integer number (931733618270).

Almost surely, 2^{73845211312800} 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 73845211312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134169641030880).

73845211312800 is an abundant number, since it is smaller than the sum of its proper divisors (194494070748960).

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

73845211312800 is a wasteful number, since it uses less digits than its factorization.

73845211312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16202893 (or 16202874 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 73845211312800 in words is "seventy-three trillion, eight hundred forty-five billion, two hundred eleven million, three hundred twelve thousand, eight hundred".