80172284544 has 512 divisors, whose sum is σ = 269686368000. Its totient is φ = 23417856000.

The previous prime is 80172284539. The next prime is 80172284551. The reversal of 80172284544 is 44548227108.

80172284544 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 22 + 84 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 80172284544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133397844 + ... + 133398444.

Almost surely, 2^80172284544 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 80172284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134843184000).

80172284544 is an abundant number, since it is smaller than the sum of its proper divisors (189514083456).

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

80172284544 is a wasteful number, since it uses less digits than its factorization.

80172284544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 80172284544 in words is "eighty billion, one hundred seventy-two million, two hundred eighty-four thousand, five hundred forty-four".