82211725440 has 512 divisors, whose sum is σ = 314616960000. Its totient is φ = 20168884224.

The previous prime is 82211725439. The next prime is 82211725441. The reversal of 82211725440 is 4452711228.

82211725440 is a `hidden beast` number, since 82 + 2 + 117 + 25 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (82211725439) and next prime (82211725441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82211725395 and 82211725404.

It is not an unprimeable number, because it can be changed into a prime (82211725441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114341401 + ... + 114342119.

It is an arithmetic number, because the mean of its divisors is an integer number (614486250).

Almost surely, 2^82211725440 is an apocalyptic number.

82211725440 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 82211725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480000).

82211725440 is an abundant number, since it is smaller than the sum of its proper divisors (232405234560).

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

82211725440 is a wasteful number, since it uses less digits than its factorization.

82211725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 82211725440 in words is "eighty-two billion, two hundred eleven million, seven hundred twenty-five thousand, four hundred forty".