80436008016 has 800 divisors, whose sum is σ = 302480640000. Its totient is φ = 20483850240.

The previous prime is 80436007937. The next prime is 80436008017. The reversal of 80436008016 is 61080063408.

It is a happy number.

80436008016 is a `hidden beast` number, since 8 + 0 + 43 + 600 + 8 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80436008017) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179144560 + ... + 179145008.

It is an arithmetic number, because the mean of its divisors is an integer number (378100800).

Almost surely, 2^80436008016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80436008016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320000).

80436008016 is an abundant number, since it is smaller than the sum of its proper divisors (222044631984).

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

80436008016 is a wasteful number, since it uses less digits than its factorization.

80436008016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80436008016 in words is "eighty billion, four hundred thirty-six million, eight thousand, sixteen".