8229826560000 has 320 divisors, whose sum is σ = 27423762993000. Its totient is φ = 2194604032000.

The previous prime is 8229826559989. The next prime is 8229826560041. The reversal of 8229826560000 is 656289228.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61373026 + ... + 61506974.

Almost surely, 2^{8229826560000} is an apocalyptic number.

8229826560000 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 8229826560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711881496500).

8229826560000 is an abundant number, since it is smaller than the sum of its proper divisors (19193936433000).

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

8229826560000 is an frugal number, since it uses more digits than its factorization.

8229826560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134002 (or 133959 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 8229826560000 in words is "eight trillion, two hundred twenty-nine billion, eight hundred twenty-six million, five hundred sixty thousand".