8400088008800 has 288 divisors, whose sum is σ = 22696505143200. Its totient is φ = 3023032320000.

The previous prime is 8400088008773. The next prime is 8400088008827. The reversal of 8400088008800 is 88008800048.

It is an interprime number because it is at equal distance from previous prime (8400088008773) and next prime (8400088008827).

It is a super-2 number, since 2×8400088008800² (a number of 27 digits) contains 22 as substring.

8400088008800 is a modest number, since divided by 88008800 gives 84000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26732600 + ... + 27045000.

It is an arithmetic number, because the mean of its divisors is an integer number (78807309525).

Almost surely, 2^{8400088008800} is an apocalyptic number.

8400088008800 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 8400088008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11348252571600).

8400088008800 is an abundant number, since it is smaller than the sum of its proper divisors (14296417134400).

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

8400088008800 is a wasteful number, since it uses less digits than its factorization.

8400088008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312530 (or 312517 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The spelling of 8400088008800 in words is "eight trillion, four hundred billion, eighty-eight million, eight thousand, eight hundred".