80047533261312 has 480 divisors, whose sum is σ = 251299824375600. Its totient is φ = 24429896663040.

The previous prime is 80047533261191. The next prime is 80047533261313. The reversal of 80047533261312 is 21316233574008.

80047533261312 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 7 + 5 + 3 + 326 + 1 + 312 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39103710863616 + 40943822397696 = 6253296^2 + 6398736^2 .

It is a super-3 number, since 3×80047533261312³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (80047533261313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120874118 + ... + 1120945530.

Almost surely, 2^{80047533261312} is an apocalyptic number.

80047533261312 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80047533261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125649912187800).

80047533261312 is an abundant number, since it is smaller than the sum of its proper divisors (171252291114288).

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

80047533261312 is a wasteful number, since it uses less digits than its factorization.

80047533261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71844 (or 71825 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 80047533261312 in words is "eighty trillion, forty-seven billion, five hundred thirty-three million, two hundred sixty-one thousand, three hundred twelve".