82225669120 has 264 divisors, whose sum is σ = 230856402240. Its totient is φ = 28018851840.

The previous prime is 82225669111. The next prime is 82225669121. The reversal of 82225669120 is 2196652228.

It is a super-2 number, since 2×82225669120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82225669121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44906605 + ... + 44908435.

Almost surely, 2^82225669120 is an apocalyptic number.

82225669120 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 82225669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115428201120).

82225669120 is an abundant number, since it is smaller than the sum of its proper divisors (148630733120).

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

82225669120 is a wasteful number, since it uses less digits than its factorization.

82225669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 82225669120 in words is "eighty-two billion, two hundred twenty-five million, six hundred sixty-nine thousand, one hundred twenty".