8286798873600 has 2112 divisors, whose sum is σ = 34622788999680. Its totient is φ = 1926955008000.

The previous prime is 8286798873599. The next prime is 8286798873629. The reversal of 8286798873600 is 63788976828.

8286798873600 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 7 + 9 + 8 + 8 + 7 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20873548602 + ... + 20873548998.

Almost surely, 2^{8286798873600} is an apocalyptic number.

8286798873600 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 8286798873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311394499840).

8286798873600 is an abundant number, since it is smaller than the sum of its proper divisors (26335990126080).

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

8286798873600 is a wasteful number, since it uses less digits than its factorization.

8286798873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 8286798873600 in words is "eight trillion, two hundred eighty-six billion, seven hundred ninety-eight million, eight hundred seventy-three thousand, six hundred".