82209738240000 has 5460 divisors, whose sum is σ = 382608144452160. Its totient is φ = 17557585920000.

The previous prime is 82209738239963. The next prime is 82209738240011. The reversal of 82209738240000 is 4283790228.

82209738240000 is a `hidden beast` number, since 8 + 2 + 209 + 7 + 38 + 2 + 400 + 0 + 0 = 666.

It is a super-2 number, since 2×82209738240000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 2651927039985 + ... + 2651927040015.

Almost surely, 2^{82209738240000} is an apocalyptic number.

82209738240000 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 82209738240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191304072226080).

82209738240000 is an abundant number, since it is smaller than the sum of its proper divisors (300398406212160).

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

82209738240000 is an frugal number, since it uses more digits than its factorization.

82209738240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82209738240000 in words is "eighty-two trillion, two hundred nine billion, seven hundred thirty-eight million, two hundred forty thousand".