80729216352 has 120 divisors (see below), whose sum is σ = 237624643872. Its totient is φ = 26886816000.

The previous prime is 80729216279. The next prime is 80729216353. The reversal of 80729216352 is 25361292708.

80729216352 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 9 + 2 + 1 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 80729216298 and 80729216307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80729216353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3178102 + ... + 3203402.

Almost surely, 2^80729216352 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 80729216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118812321936).

80729216352 is an abundant number, since it is smaller than the sum of its proper divisors (156895427520).

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

80729216352 is a wasteful number, since it uses less digits than its factorization.

80729216352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26554 (or 26537 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 80729216352 in words is "eighty billion, seven hundred twenty-nine million, two hundred sixteen thousand, three hundred fifty-two".