8129248880800 has 144 divisors (see below), whose sum is σ = 20091247640352. Its totient is φ = 3211464268800.

The previous prime is 8129248880791. The next prime is 8129248880801. The reversal of 8129248880800 is 80888429218.

It is not an unprimeable number, because it can be changed into a prime (8129248880801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219566290 + ... + 219603310.

It is an arithmetic number, because the mean of its divisors is an integer number (139522553058).

Almost surely, 2^{8129248880800} is an apocalyptic number.

8129248880800 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 8129248880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045623820176).

8129248880800 is an abundant number, since it is smaller than the sum of its proper divisors (11961998759552).

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

8129248880800 is a wasteful number, since it uses less digits than its factorization.

8129248880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40431 (or 40418 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 58.

The spelling of 8129248880800 in words is "eight trillion, one hundred twenty-nine billion, two hundred forty-eight million, eight hundred eighty thousand, eight hundred".