83290664952 has 192 divisors, whose sum is σ = 261952704000. Its totient is φ = 23642150400.

The previous prime is 83290664939. The next prime is 83290664981. The reversal of 83290664952 is 25946609238.

It is a happy number.

83290664952 is a `hidden beast` number, since 8 + 3 + 2 + 90 + 66 + 495 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308177 + ... + 1370367.

It is an arithmetic number, because the mean of its divisors is an integer number (1364337000).

Almost surely, 2^83290664952 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 83290664952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130976352000).

83290664952 is an abundant number, since it is smaller than the sum of its proper divisors (178662039048).

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

83290664952 is a wasteful number, since it uses less digits than its factorization.

83290664952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62322 (or 62315 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 83290664952 in words is "eighty-three billion, two hundred ninety million, six hundred sixty-four thousand, nine hundred fifty-two".