82435426920 has 2304 divisors, whose sum is σ = 401548492800. Its totient is φ = 14780620800.

The previous prime is 82435426919. The next prime is 82435426933. The reversal of 82435426920 is 2962453428.

82435426920 is a `hidden beast` number, since 8 + 2 + 43 + 542 + 69 + 2 + 0 = 666.

It is a super-2 number, since 2×82435426920² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2659207305 + ... + 2659207335.

It is an arithmetic number, because the mean of its divisors is an integer number (174283200).

Almost surely, 2^82435426920 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 82435426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200774246400).

82435426920 is an abundant number, since it is smaller than the sum of its proper divisors (319113065880).

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

82435426920 is a wasteful number, since it uses less digits than its factorization.

82435426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 82435426920 in words is "eighty-two billion, four hundred thirty-five million, four hundred twenty-six thousand, nine hundred twenty".