80429129280000 has 1600 divisors, whose sum is σ = 307699187241600. Its totient is φ = 20722728960000.

The previous prime is 80429129279969. The next prime is 80429129280013. The reversal of 80429129280000 is 8292192408.

It is a happy number.

80429129280000 is a `hidden beast` number, since 80 + 4 + 291 + 2 + 9 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38612158959 + ... + 38612161041.

It is an arithmetic number, because the mean of its divisors is an integer number (192311992026).

Almost surely, 2^{80429129280000} is an apocalyptic number.

80429129280000 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 80429129280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153849593620800).

80429129280000 is an abundant number, since it is smaller than the sum of its proper divisors (227270057961600).

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

80429129280000 is a wasteful number, since it uses less digits than its factorization.

80429129280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 80429129280000 in words is "eighty trillion, four hundred twenty-nine billion, one hundred twenty-nine million, two hundred eighty thousand".