82225406880 has 576 divisors, whose sum is σ = 318121509888. Its totient is φ = 19966279680.

The previous prime is 82225406869. The next prime is 82225406909. The reversal of 82225406880 is 8860452228.

82225406880 is a `hidden beast` number, since 8 + 2 + 22 + 540 + 6 + 8 + 80 = 666.

It is a super-2 number, since 2×82225406880² (a number of 23 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20487754 + ... + 20491766.

It is an arithmetic number, because the mean of its divisors is an integer number (552294288).

Almost surely, 2^82225406880 is an apocalyptic number.

82225406880 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 82225406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159060754944).

82225406880 is an abundant number, since it is smaller than the sum of its proper divisors (235896103008).

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

82225406880 is a wasteful number, since it uses less digits than its factorization.

82225406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 82225406880 in words is "eighty-two billion, two hundred twenty-five million, four hundred six thousand, eight hundred eighty".