80829890305920 has 2688 divisors, whose sum is σ = 368410035628800. Its totient is φ = 16825183764480.

The previous prime is 80829890305907. The next prime is 80829890305949. The reversal of 80829890305920 is 2950309892808.

80829890305920 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 9 + 8 + 9 + 0 + 30 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12047975526 + ... + 12047982234.

Almost surely, 2^{80829890305920} is an apocalyptic number.

80829890305920 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 80829890305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184205017814400).

80829890305920 is an abundant number, since it is smaller than the sum of its proper divisors (287580145322880).

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

80829890305920 is a wasteful number, since it uses less digits than its factorization.

80829890305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 80829890305920 in words is "eighty trillion, eight hundred twenty-nine billion, eight hundred ninety million, three hundred five thousand, nine hundred twenty".