80829288840000 has 560 divisors, whose sum is σ = 269293466756160. Its totient is φ = 21389537280000.

The previous prime is 80829288839989. The next prime is 80829288840043. The reversal of 80829288840000 is 4888292808.

It is a super-3 number, since 3×80829288840000³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8473555231 + ... + 8473564769.

It is an arithmetic number, because the mean of its divisors is an integer number (480881190636).

Almost surely, 2^{80829288840000} is an apocalyptic number.

80829288840000 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 80829288840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134646733378080).

80829288840000 is an abundant number, since it is smaller than the sum of its proper divisors (188464177916160).

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

80829288840000 is a wasteful number, since it uses less digits than its factorization.

80829288840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 57.

The spelling of 80829288840000 in words is "eighty trillion, eight hundred twenty-nine billion, two hundred eighty-eight million, eight hundred forty thousand".