8199205917696 has 220 divisors, whose sum is σ = 24507771652980. Its totient is φ = 2730463395840.

The previous prime is 8199205917677. The next prime is 8199205917703. The reversal of 8199205917696 is 6967195029918.

8199205917696 is a `hidden beast` number, since 8 + 1 + 9 + 9 + 20 + 591 + 7 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7227924710400 + 971281207296 = 2688480^2 + 985536^2 .

It is a super-2 number, since 2×8199205917696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87957000 + ... + 88050168.

It is an arithmetic number, because the mean of its divisors is an integer number (111398962059).

Almost surely, 2^{8199205917696} 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 8199205917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253885826490).

8199205917696 is an abundant number, since it is smaller than the sum of its proper divisors (16308565735284).

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

8199205917696 is a wasteful number, since it uses less digits than its factorization.

8199205917696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94262 (or 94235 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 8199205917696 in words is "eight trillion, one hundred ninety-nine billion, two hundred five million, nine hundred seventeen thousand, six hundred ninety-six".