82814202900 has 1728 divisors, whose sum is σ = 353757358080. Its totient is φ = 16422912000.

The previous prime is 82814202857. The next prime is 82814202907. The reversal of 82814202900 is 920241828.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82814202907) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2238221682 + ... + 2238221718.

Almost surely, 2^82814202900 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 82814202900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176878679040).

82814202900 is an abundant number, since it is smaller than the sum of its proper divisors (270943155180).

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

82814202900 is a wasteful number, since it uses less digits than its factorization.

82814202900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 82814202900 in words is "eighty-two billion, eight hundred fourteen million, two hundred two thousand, nine hundred".