82241236400 has 60 divisors (see below), whose sum is σ = 197724212400. Its totient is φ = 32873245440.

The previous prime is 82241236361. The next prime is 82241236421. The reversal of 82241236400 is 463214228.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499661 + ... + 643539.

It is an arithmetic number, because the mean of its divisors is an integer number (3295403540).

Almost surely, 2^82241236400 is an apocalyptic number.

82241236400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82241236400 is an abundant number, since it is smaller than the sum of its proper divisors (115482976000).

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

82241236400 is a wasteful number, since it uses less digits than its factorization.

82241236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145326 (or 145315 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 82241236400 in words is "eighty-two billion, two hundred forty-one million, two hundred thirty-six thousand, four hundred".