8217892081800 has 240 divisors, whose sum is σ = 29313363037860. Its totient is φ = 2132209681920.

The previous prime is 8217892081781. The next prime is 8217892081801. The reversal of 8217892081800 is 81802987128.

It can be written as a sum of positive squares in 6 ways, for example, as 2415680628516 + 5802211453284 = 1554246^2 + 2408778^2 .

It is a super-2 number, since 2×8217892081800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8217892081801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6255699 + ... + 7454498.

Almost surely, 2^{8217892081800} is an apocalyptic number.

It is an amenable number.

8217892081800 is an abundant number, since it is smaller than the sum of its proper divisors (21095470956060).

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

8217892081800 is a wasteful number, since it uses less digits than its factorization.

8217892081800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710262 (or 13710244 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 8217892081800 in words is "eight trillion, two hundred seventeen billion, eight hundred ninety-two million, eighty-one thousand, eight hundred".