80665571551968 has 1728 divisors, whose sum is σ = 292060154131200. Its totient is φ = 21748832501760.

The previous prime is 80665571551963. The next prime is 80665571551997. The reversal of 80665571551968 is 86915517556608.

80665571551968 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 5 + 5 + 7 + 1 + 551 + 9 + 68 = 666.

It is a super-3 number, since 3×80665571551968³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 80665571551896 and 80665571551905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80665571551963) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25043640598 + ... + 25043643818.

It is an arithmetic number, because the mean of its divisors is an integer number (169016292900).

Almost surely, 2^{80665571551968} 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 80665571551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146030077065600).

80665571551968 is an abundant number, since it is smaller than the sum of its proper divisors (211394582579232).

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

80665571551968 is a wasteful number, since it uses less digits than its factorization.

80665571551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 72.

The spelling of 80665571551968 in words is "eighty trillion, six hundred sixty-five billion, five hundred seventy-one million, five hundred fifty-one thousand, nine hundred sixty-eight".