8726811242800 has 120 divisors (see below), whose sum is σ = 23966618896352. Its totient is φ = 2991389184000.

The previous prime is 8726811242783. The next prime is 8726811242837. The reversal of 8726811242800 is 82421186278.

It is a super-3 number, since 3×8726811242800³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12429130 + ... + 13112470.

Almost surely, 2^{8726811242800} is an apocalyptic number.

8726811242800 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 8726811242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983309448176).

8726811242800 is an abundant number, since it is smaller than the sum of its proper divisors (15239807653552).

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

8726811242800 is a wasteful number, since it uses less digits than its factorization.

8726811242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687927 (or 687916 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 8726811242800 in words is "eight trillion, seven hundred twenty-six billion, eight hundred eleven million, two hundred forty-two thousand, eight hundred".