82009402937280 has 2688 divisors, whose sum is σ = 381192567275520. Its totient is φ = 15697198448640.

The previous prime is 82009402937263. The next prime is 82009402937281. The reversal of 82009402937280 is 8273920490028.

It is a happy number.

82009402937280 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 9 + 402 + 93 + 72 + 80 = 666.

82009402937280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×82009402937280³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82009402937281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14973413902 + ... + 14973419378.

It is an arithmetic number, because the mean of its divisors is an integer number (141812711040).

Almost surely, 2^{82009402937280} is an apocalyptic number.

82009402937280 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 82009402937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190596283637760).

82009402937280 is an abundant number, since it is smaller than the sum of its proper divisors (299183164338240).

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

82009402937280 is a wasteful number, since it uses less digits than its factorization.

82009402937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 82009402937280 in words is "eighty-two trillion, nine billion, four hundred two million, nine hundred thirty-seven thousand, two hundred eighty".