82402432056 has 320 divisors, whose sum is σ = 271032410880. Its totient is φ = 22899386880.

The previous prime is 82402432037. The next prime is 82402432061. The reversal of 82402432056 is 65023420428.

82402432056 is a `hidden beast` number, since 8 + 2 + 402 + 43 + 205 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82402432056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104704095 + ... + 104704881.

It is an arithmetic number, because the mean of its divisors is an integer number (846976284).

Almost surely, 2^82402432056 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 82402432056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135516205440).

82402432056 is an abundant number, since it is smaller than the sum of its proper divisors (188629978824).

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

82402432056 is a wasteful number, since it uses less digits than its factorization.

82402432056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 82402432056 in words is "eighty-two billion, four hundred two million, four hundred thirty-two thousand, fifty-six".