80404722826272 has 576 divisors, whose sum is σ = 265862177773920. Its totient is φ = 22965433860096.

The previous prime is 80404722826229. The next prime is 80404722826283. The reversal of 80404722826272 is 27262822740408.

80404722826272 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 4 + 7 + 2 + 2 + 8 + 2 + 627 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10831707816336 + 69573015009936 = 3291156^2 + 8341044^2 .

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 95 ways as a sum of consecutive naturals, for example, 785174178 + ... + 785276574.

Almost surely, 2^{80404722826272} 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 80404722826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132931088886960).

80404722826272 is an abundant number, since it is smaller than the sum of its proper divisors (185457454947648).

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

80404722826272 is a wasteful number, since it uses less digits than its factorization.

80404722826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102542 (or 102505 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 80404722826272 in words is "eighty trillion, four hundred four billion, seven hundred twenty-two million, eight hundred twenty-six thousand, two hundred seventy-two".