80827739899200 has 2016 divisors, whose sum is σ = 348660039686400. Its totient is φ = 17370428866560.

The previous prime is 80827739899163. The next prime is 80827739899219. The reversal of 80827739899200 is 299893772808.

80827739899200 is a `hidden beast` number, since 8 + 0 + 8 + 27 + 7 + 398 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17431039282 + ... + 17431043918.

Almost surely, 2^{80827739899200} is an apocalyptic number.

80827739899200 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 80827739899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174330019843200).

80827739899200 is an abundant number, since it is smaller than the sum of its proper divisors (267832299787200).

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

80827739899200 is a wasteful number, since it uses less digits than its factorization.

80827739899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 80827739899200 in words is "eighty trillion, eight hundred twenty-seven billion, seven hundred thirty-nine million, eight hundred ninety-nine thousand, two hundred".