80944419225600 has 1800 divisors, whose sum is σ = 353789180709888. Its totient is φ = 17903163801600.

The previous prime is 80944419225587. The next prime is 80944419225613. The reversal of 80944419225600 is 652291444908.

80944419225600 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 4 + 4 + 1 + 9 + 2 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (80944419225587) and next prime (80944419225613).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7199533579 + ... + 7199544821.

Almost surely, 2^{80944419225600} is an apocalyptic number.

80944419225600 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 80944419225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176894590354944).

80944419225600 is an abundant number, since it is smaller than the sum of its proper divisors (272844761484288).

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

80944419225600 is a wasteful number, since it uses less digits than its factorization.

80944419225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 80944419225600 in words is "eighty trillion, nine hundred forty-four billion, four hundred nineteen million, two hundred twenty-five thousand, six hundred".