83009006202900 has 288 divisors, whose sum is σ = 245887392199680. Its totient is φ = 21617182080000.

The previous prime is 83009006202877. The next prime is 83009006203009. The reversal of 83009006202900 is 920260090038.

It is a super-2 number, since 2×83009006202900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634904736 + ... + 635035464.

It is an arithmetic number, because the mean of its divisors is an integer number (853775667360).

Almost surely, 2^{83009006202900} 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 83009006202900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943696099840).

83009006202900 is an abundant number, since it is smaller than the sum of its proper divisors (162878385996780).

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

83009006202900 is a wasteful number, since it uses less digits than its factorization.

83009006202900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131135 (or 131128 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

Adding to 83009006202900 its reverse (920260090038), we get a palindrome (83929266292938).

The spelling of 83009006202900 in words is "eighty-three trillion, nine billion, six million, two hundred two thousand, nine hundred".