82208236032 has 240 divisors, whose sum is σ = 255947659968. Its totient is φ = 25251471360.

The previous prime is 82208236003. The next prime is 82208236043. The reversal of 82208236032 is 23063280228.

82208236032 is a `hidden beast` number, since 8 + 2 + 20 + 8 + 23 + 603 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63677307 + ... + 63678597.

Almost surely, 2^82208236032 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 82208236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127973829984).

82208236032 is an abundant number, since it is smaller than the sum of its proper divisors (173739423936).

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

82208236032 is a wasteful number, since it uses less digits than its factorization.

82208236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 82208236032 in words is "eighty-two billion, two hundred eight million, two hundred thirty-six thousand, thirty-two".