83213802000 has 480 divisors, whose sum is σ = 333520272384. Its totient is φ = 18942336000.

The previous prime is 83213801999. The next prime is 83213802011. The reversal of 83213802000 is 20831238.

83213802000 is a `hidden beast` number, since 83 + 2 + 1 + 380 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34144782 + ... + 34147218.

Almost surely, 2^83213802000 is an apocalyptic number.

83213802000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83213802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166760136192).

83213802000 is an abundant number, since it is smaller than the sum of its proper divisors (250306470384).

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

83213802000 is a wasteful number, since it uses less digits than its factorization.

83213802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 83213802000 in words is "eighty-three billion, two hundred thirteen million, eight hundred two thousand".