13229568000 has 1040 divisors, whose sum is σ = 55660793760. Its totient is φ = 3096576000.

The previous prime is 13229567963. The next prime is 13229568019. The reversal of 13229568000 is 86592231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456191986 + ... + 456192014.

It is an arithmetic number, because the mean of its divisors is an integer number (53519994).

Almost surely, 2^13229568000 is an apocalyptic number.

13229568000 is a gapful number since it is divisible by the number (10) 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 13229568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830396880).

13229568000 is an abundant number, since it is smaller than the sum of its proper divisors (42431225760).

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

13229568000 is an equidigital number, since it uses as much as digits as its factorization.

13229568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13229568000 in words is "thirteen billion, two hundred twenty-nine million, five hundred sixty-eight thousand".