8201835381600 has 1728 divisors, whose sum is σ = 37888025011200. Its totient is φ = 1671374684160.

The previous prime is 8201835381587. The next prime is 8201835381611. The reversal of 8201835381600 is 61835381028.

8201835381600 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 8 + 3 + 5 + 38 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 927909981 + ... + 927918819.

It is an arithmetic number, because the mean of its divisors is an integer number (21925940400).

Almost surely, 2^{8201835381600} is an apocalyptic number.

8201835381600 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 8201835381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18944012505600).

8201835381600 is an abundant number, since it is smaller than the sum of its proper divisors (29686189629600).

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

8201835381600 is a wasteful number, since it uses less digits than its factorization.

8201835381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 8201835381600 in words is "eight trillion, two hundred one billion, eight hundred thirty-five million, three hundred eighty-one thousand, six hundred".