82397849600 has 288 divisors, whose sum is σ = 232595737920. Its totient is φ = 28655616000.

The previous prime is 82397849587. The next prime is 82397849641. The reversal of 82397849600 is 694879328.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12950420 + ... + 12956780.

It is an arithmetic number, because the mean of its divisors is an integer number (807624090).

Almost surely, 2^82397849600 is an apocalyptic number.

82397849600 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 82397849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116297868960).

82397849600 is an abundant number, since it is smaller than the sum of its proper divisors (150197888320).

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

82397849600 is a wasteful number, since it uses less digits than its factorization.

82397849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 82397849600 in words is "eighty-two billion, three hundred ninety-seven million, eight hundred forty-nine thousand, six hundred".