80842411584 has 315 divisors, whose sum is σ = 264144177451. Its totient is φ = 24429461760.

The previous prime is 80842411577. The next prime is 80842411589. The reversal of 80842411584 is 48511424808.

The square root of 80842411584 is 284328.

It is a perfect power (a square), and thus also a powerful number.

80842411584 is a `hidden beast` number, since 80 + 84 + 2 + 411 + 5 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (80842411589) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 225187597 + ... + 225187955.

Almost surely, 2^80842411584 is an apocalyptic number.

80842411584 is the 284328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80842411584

80842411584 is an abundant number, since it is smaller than the sum of its proper divisors (183301765867).

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

80842411584 is an equidigital number, since it uses as much as digits as its factorization.

80842411584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 80842411584 in words is "eighty billion, eight hundred forty-two million, four hundred eleven thousand, five hundred eighty-four".