82421403552 has 360 divisors, whose sum is σ = 271095834240. Its totient is φ = 24492533760.

The previous prime is 82421403551. The next prime is 82421403557. The reversal of 82421403552 is 25530412428.

82421403552 is a `hidden beast` number, since 8 + 242 + 1 + 403 + 5 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82421403551) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 14229777 + ... + 14235567.

It is an arithmetic number, because the mean of its divisors is an integer number (753043984).

Almost surely, 2^82421403552 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 82421403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135547917120).

82421403552 is an abundant number, since it is smaller than the sum of its proper divisors (188674430688).

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

82421403552 is a wasteful number, since it uses less digits than its factorization.

82421403552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 82421403552 in words is "eighty-two billion, four hundred twenty-one million, four hundred three thousand, five hundred fifty-two".