82600849800 has 576 divisors, whose sum is σ = 331840903680. Its totient is φ = 18017925120.

The previous prime is 82600849787. The next prime is 82600849817. The reversal of 82600849800 is 894800628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24706929 + ... + 24710271.

It is an arithmetic number, because the mean of its divisors is an integer number (576112680).

Almost surely, 2^82600849800 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 82600849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165920451840).

82600849800 is an abundant number, since it is smaller than the sum of its proper divisors (249240053880).

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

82600849800 is a wasteful number, since it uses less digits than its factorization.

82600849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 82600849800 in words is "eighty-two billion, six hundred million, eight hundred forty-nine thousand, eight hundred".