80193965322240 has 2496 divisors, whose sum is σ = 369300626472960. Its totient is φ = 15592091811840.

The previous prime is 80193965322223. The next prime is 80193965322299. The reversal of 80193965322240 is 4222356939108.

80193965322240 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 396 + 5 + 3 + 2 + 2 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22381791489 + ... + 22381795071.

It is an arithmetic number, because the mean of its divisors is an integer number (147956981760).

Almost surely, 2^{80193965322240} is an apocalyptic number.

80193965322240 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 80193965322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184650313236480).

80193965322240 is an abundant number, since it is smaller than the sum of its proper divisors (289106661150720).

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

80193965322240 is a wasteful number, since it uses less digits than its factorization.

80193965322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 80193965322240 in words is "eighty trillion, one hundred ninety-three billion, nine hundred sixty-five million, three hundred twenty-two thousand, two hundred forty".