82435420872 has 256 divisors, whose sum is σ = 271042560000. Its totient is φ = 23200043328.

The previous prime is 82435420871. The next prime is 82435420891. The reversal of 82435420872 is 27802453428.

82435420872 is a `hidden beast` number, since 8 + 2 + 435 + 4 + 208 + 7 + 2 = 666.

It is a super-2 number, since 2×82435420872² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82435420871) 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, 4955593 + ... + 4972199.

It is an arithmetic number, because the mean of its divisors is an integer number (1058760000).

Almost surely, 2^82435420872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82435420872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135521280000).

82435420872 is an abundant number, since it is smaller than the sum of its proper divisors (188607139128).

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

82435420872 is a wasteful number, since it uses less digits than its factorization.

82435420872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16710 (or 16686 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 82435420872 in words is "eighty-two billion, four hundred thirty-five million, four hundred twenty thousand, eight hundred seventy-two".