80382251040000 has 5760 divisors, whose sum is σ = 370744683724800. Its totient is φ = 14987427840000.

The previous prime is 80382251039957. The next prime is 80382251040041. The reversal of 80382251040000 is 4015228308.

It is a super-2 number, since 2×80382251040000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 903171359956 + ... + 903171360044.

It is an arithmetic number, because the mean of its divisors is an integer number (64365396480).

Almost surely, 2^{80382251040000} is an apocalyptic number.

80382251040000 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 80382251040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185372341862400).

80382251040000 is an abundant number, since it is smaller than the sum of its proper divisors (290362432684800).

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

80382251040000 is a wasteful number, since it uses less digits than its factorization.

80382251040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 80382251040000 its reverse (4015228308), we get a palindrome (80386266268308).

The spelling of 80382251040000 in words is "eighty trillion, three hundred eighty-two billion, two hundred fifty-one million, forty thousand".