82414080000 has 1170 divisors, whose sum is σ = 350782474614. Its totient is φ = 18579456000.

The previous prime is 82414079999. The next prime is 82414080013. The reversal of 82414080000 is 8041428.

It can be written as a sum of positive squares in 5 ways, for example, as 29595009024 + 52819070976 = 172032^2 + 229824^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1128959964 + ... + 1128960036.

Almost surely, 2^82414080000 is an apocalyptic number.

82414080000 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 82414080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175391237307).

82414080000 is an abundant number, since it is smaller than the sum of its proper divisors (268368394614).

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

82414080000 is an equidigital number, since it uses as much as digits as its factorization.

82414080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 82414080000 in words is "eighty-two billion, four hundred fourteen million, eighty thousand".