80019600494400 has 840 divisors, whose sum is σ = 355924412433216. Its totient is φ = 17214297292800.

The previous prime is 80019600494377. The next prime is 80019600494401. The reversal of 80019600494400 is 449400691008.

80019600494400 is a `hidden beast` number, since 80 + 0 + 1 + 96 + 0 + 0 + 49 + 440 + 0 = 666.

80019600494400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80019600494401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12828135 + ... + 18016665.

Almost surely, 2^{80019600494400} is an apocalyptic number.

80019600494400 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 80019600494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177962206216608).

80019600494400 is an abundant number, since it is smaller than the sum of its proper divisors (275904811938816).

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

80019600494400 is a wasteful number, since it uses less digits than its factorization.

80019600494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188589 (or 5188565 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80019600494400 in words is "eighty trillion, nineteen billion, six hundred million, four hundred ninety-four thousand, four hundred".