80517314724480 has 384 divisors, whose sum is σ = 283989369081600. Its totient is φ = 21011684106240.

The previous prime is 80517314724463. The next prime is 80517314724491. The reversal of 80517314724480 is 8442741371508.

80517314724480 is a `hidden beast` number, since 8 + 0 + 5 + 1 + 7 + 314 + 7 + 244 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×80517314724480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2796793926 + ... + 2796822714.

It is an arithmetic number, because the mean of its divisors is an integer number (739555648650).

Almost surely, 2^{80517314724480} is an apocalyptic number.

80517314724480 is a gapful number since it is divisible by the number (80) 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 80517314724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994684540800).

80517314724480 is an abundant number, since it is smaller than the sum of its proper divisors (203472054357120).

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

80517314724480 is a wasteful number, since it uses less digits than its factorization.

80517314724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39192 (or 39177 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 80517314724480 in words is "eighty trillion, five hundred seventeen billion, three hundred fourteen million, seven hundred twenty-four thousand, four hundred eighty".