82431042900 has 288 divisors, whose sum is σ = 250233984000. Its totient is φ = 20926771200.

The previous prime is 82431042899. The next prime is 82431042907. The reversal of 82431042900 is 924013428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82431042907) 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 95 ways as a sum of consecutive naturals, for example, 236191926 + ... + 236192274.

It is an arithmetic number, because the mean of its divisors is an integer number (868868000).

Almost surely, 2^82431042900 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 82431042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125116992000).

82431042900 is an abundant number, since it is smaller than the sum of its proper divisors (167802941100).

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

82431042900 is a wasteful number, since it uses less digits than its factorization.

82431042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 82431042900 in words is "eighty-two billion, four hundred thirty-one million, forty-two thousand, nine hundred".