8825881785600 has 864 divisors, whose sum is σ = 33705446713344. Its totient is φ = 2010090700800.

The previous prime is 8825881785529. The next prime is 8825881785613. The reversal of 8825881785600 is 65871885288.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2308625289 + ... + 2308629111.

It is an arithmetic number, because the mean of its divisors is an integer number (39010933696).

Almost surely, 2^{8825881785600} is an apocalyptic number.

8825881785600 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 8825881785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852723356672).

8825881785600 is an abundant number, since it is smaller than the sum of its proper divisors (24879564927744).

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

8825881785600 is a wasteful number, since it uses less digits than its factorization.

8825881785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 66.

The spelling of 8825881785600 in words is "eight trillion, eight hundred twenty-five billion, eight hundred eighty-one million, seven hundred eighty-five thousand, six hundred".