82226457600 has 528 divisors, whose sum is σ = 317898248448. Its totient is φ = 18352373760.

The previous prime is 82226457589. The next prime is 82226457619. The reversal of 82226457600 is 675462228.

It is a super-2 number, since 2×82226457600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23115022 + ... + 23118578.

It is an arithmetic number, because the mean of its divisors is an integer number (602080016).

Almost surely, 2^82226457600 is an apocalyptic number.

82226457600 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 82226457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158949124224).

82226457600 is an abundant number, since it is smaller than the sum of its proper divisors (235671790848).

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

82226457600 is a wasteful number, since it uses less digits than its factorization.

82226457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 82226457600 in words is "eighty-two billion, two hundred twenty-six million, four hundred fifty-seven thousand, six hundred".