80800400044000 has 864 divisors, whose sum is σ = 252294831655776. Its totient is φ = 25344519782400.

The previous prime is 80800400043997. The next prime is 80800400044033. The reversal of 80800400044000 is 44000400808.

It is a happy number.

80800400044000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 80800400044000.

It is a congruent number.

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, 3743001207 + ... + 3743022793.

It is an arithmetic number, because the mean of its divisors is an integer number (292007907009).

Almost surely, 2^{80800400044000} is an apocalyptic number.

80800400044000 is a gapful number since it is divisible by the number (80) 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 80800400044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126147415827888).

80800400044000 is an abundant number, since it is smaller than the sum of its proper divisors (171494431611776).

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

80800400044000 is a wasteful number, since it uses less digits than its factorization.

80800400044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21765 (or 21727 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 80800400044000 its reverse (44000400808), we get a palindrome (80844400444808).

The spelling of 80800400044000 in words is "eighty trillion, eight hundred billion, four hundred million, forty-four thousand".