8050065085440 has 2112 divisors, whose sum is σ = 35928917798400. Its totient is φ = 1697815461888.

The previous prime is 8050065085417. The next prime is 8050065085441. The reversal of 8050065085440 is 445805600508.

8050065085440 is a `hidden beast` number, since 8 + 0 + 50 + 0 + 6 + 50 + 8 + 544 + 0 = 666.

It is a super-2 number, since 2×8050065085440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050065085441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6103157101 + ... + 6103158419.

It is an arithmetic number, because the mean of its divisors is an integer number (17011798200).

Almost surely, 2^{8050065085440} is an apocalyptic number.

8050065085440 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 8050065085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964458899200).

8050065085440 is an abundant number, since it is smaller than the sum of its proper divisors (27878852712960).

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

8050065085440 is a wasteful number, since it uses less digits than its factorization.

8050065085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 8050065085440 in words is "eight trillion, fifty billion, sixty-five million, eighty-five thousand, four hundred forty".