80999384400 has 1080 divisors, whose sum is σ = 328272864192. Its totient is φ = 19160064000.

The previous prime is 80999384393. The next prime is 80999384413. The reversal of 80999384400 is 448399908.

80999384400 is a `hidden beast` number, since 80 + 9 + 99 + 38 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 835045152 + ... + 835045248.

Almost surely, 2^80999384400 is an apocalyptic number.

80999384400 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 80999384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164136432096).

80999384400 is an abundant number, since it is smaller than the sum of its proper divisors (247273479792).

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

80999384400 is a wasteful number, since it uses less digits than its factorization.

80999384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 80999384400 in words is "eighty billion, nine hundred ninety-nine million, three hundred eighty-four thousand, four hundred".