82235298600 has 1080 divisors, whose sum is σ = 360356732010. Its totient is φ = 17322439680.

The previous prime is 82235298559. The next prime is 82235298617. The reversal of 82235298600 is 689253228.

It is a happy number.

82235298600 is a `hidden beast` number, since 8 + 2 + 2 + 35 + 2 + 9 + 8 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 19175048676 + 63060249924 = 138474^2 + 251118^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 269 ways as a sum of consecutive naturals, for example, 134151894 + ... + 134152506.

Almost surely, 2^82235298600 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 82235298600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180178366005).

82235298600 is an abundant number, since it is smaller than the sum of its proper divisors (278121433410).

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

82235298600 is a wasteful number, since it uses less digits than its factorization.

82235298600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82235298600 in words is "eighty-two billion, two hundred thirty-five million, two hundred ninety-eight thousand, six hundred".