82217227840 has 896 divisors, whose sum is σ = 254835818496. Its totient is φ = 24870912000.

The previous prime is 82217227787. The next prime is 82217227879. The reversal of 82217227840 is 4872271228.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1749302697 + ... + 1749302743.

It is an arithmetic number, because the mean of its divisors is an integer number (284414976).

Almost surely, 2^82217227840 is an apocalyptic number.

82217227840 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 82217227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127417909248).

82217227840 is an abundant number, since it is smaller than the sum of its proper divisors (172618590656).

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

82217227840 is a wasteful number, since it uses less digits than its factorization.

82217227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 43.

The spelling of 82217227840 in words is "eighty-two billion, two hundred seventeen million, two hundred twenty-seven thousand, eight hundred forty".