8009848828800 has 1728 divisors, whose sum is σ = 35556870866400. Its totient is φ = 1681069178880.

The previous prime is 8009848828733. The next prime is 8009848828811. The reversal of 8009848828800 is 88288489008.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7938402696 + ... + 7938403704.

Almost surely, 2^{8009848828800} is an apocalyptic number.

8009848828800 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 8009848828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778435433200).

8009848828800 is an abundant number, since it is smaller than the sum of its proper divisors (27547022037600).

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

8009848828800 is a wasteful number, since it uses less digits than its factorization.

8009848828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 63.

The spelling of 8009848828800 in words is "eight trillion, nine billion, eight hundred forty-eight million, eight hundred twenty-eight thousand, eight hundred".