80219704320 has 1056 divisors, whose sum is σ = 337051094016. Its totient is φ = 17915904000.

The previous prime is 80219704309. The next prime is 80219704321. The reversal of 80219704320 is 2340791208.

80219704320 is a `hidden beast` number, since 8 + 0 + 219 + 7 + 0 + 432 + 0 = 666.

It is a super-2 number, since 2×80219704320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80219704321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531256245 + ... + 531256395.

Almost surely, 2^80219704320 is an apocalyptic number.

80219704320 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 80219704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168525547008).

80219704320 is an abundant number, since it is smaller than the sum of its proper divisors (256831389696).

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

80219704320 is a wasteful number, since it uses less digits than its factorization.

80219704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 80219704320 in words is "eighty billion, two hundred nineteen million, seven hundred four thousand, three hundred twenty".