12803577322800 has 240 divisors, whose sum is σ = 45038999105280. Its totient is φ = 3083341440000.

The previous prime is 12803577322771. The next prime is 12803577322831. The reversal of 12803577322800 is 822377530821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12803577322800.

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, 1218615 + ... + 5205014.

It is an arithmetic number, because the mean of its divisors is an integer number (187662496272).

Almost surely, 2^{12803577322800} is an apocalyptic number.

12803577322800 is a gapful number since it is divisible by the number (10) 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 12803577322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22519499552640).

12803577322800 is an abundant number, since it is smaller than the sum of its proper divisors (32235421782480).

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

12803577322800 is a wasteful number, since it uses less digits than its factorization.

12803577322800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423812 (or 6423801 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 12803577322800 in words is "twelve trillion, eight hundred three billion, five hundred seventy-seven million, three hundred twenty-two thousand, eight hundred".