82353668063600 has 30 divisors (see below), whose sum is σ = 197854687523760. Its totient is φ = 32941467225280.

The previous prime is 82353668063561. The next prime is 82353668063603. The reversal of 82353668063600 is 636086635328.

It is a super-2 number, since 2×82353668063600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82353668063603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102942084680 + ... + 102942085479.

It is an arithmetic number, because the mean of its divisors is an integer number (6595156250792).

Almost surely, 2^{82353668063600} is an apocalyptic number.

82353668063600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82353668063600 is an abundant number, since it is smaller than the sum of its proper divisors (115501019460160).

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

82353668063600 is a wasteful number, since it uses less digits than its factorization.

82353668063600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205884170177 (or 205884170166 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 56.

The spelling of 82353668063600 in words is "eighty-two trillion, three hundred fifty-three billion, six hundred sixty-eight million, sixty-three thousand, six hundred".