80786036160000 has 1200 divisors, whose sum is σ = 307357870248000. Its totient is φ = 20364244992000.

The previous prime is 80786036159951. The next prime is 80786036160001. The reversal of 80786036160000 is 6163068708.

80786036160000 is a `hidden beast` number, since 8 + 0 + 7 + 8 + 6 + 0 + 36 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80786036160001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29931838651 + ... + 29931841349.

It is an arithmetic number, because the mean of its divisors is an integer number (256131558540).

Almost surely, 2^{80786036160000} is an apocalyptic number.

80786036160000 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 80786036160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153678935124000).

80786036160000 is an abundant number, since it is smaller than the sum of its proper divisors (226571834088000).

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

80786036160000 is a wasteful number, since it uses less digits than its factorization.

80786036160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80786036160000 in words is "eighty trillion, seven hundred eighty-six billion, thirty-six million, one hundred sixty thousand".